A year ago, the father\'s age was 8 times his son\'s age. His present age is square of his son\'s ag

Dinesh Arora   10 years AGO

let son present age be x
then father's age x^2

one year ago..
son age (x-1)
father age 8(x-1)

so present age . now be...
8(x-1)+1=x^2
8x-8+1=X^2
x^2-8x+7=0
X^2 -7x-x+7=0
x(x-7)-1(x-7)=0
(x-1)(x-7)=0
so x=7 and x=1;
according to x=7..
where x is son's age.. so present son's age is 7
present father's age .. x^2= 7^2=49

Like? Yes (9) | No (3)  

Krupa Pareshkumar Shah   10 years AGO

A year ago it was 6 and 48 and now it is 7 & 49

Like? Yes (2) | No   

RISHABH SHARMA   10 years AGO

let current age is x and y then
x-1=8(y-1) and x=y^2

Like? Yes (2) | No   

Rahul Kumar   10 years AGO

father=y
son=x
y=x^2
y-1=8(x-1)
y-1=8x-8
y-8x+7
x^2-8x+7=0
x^2-7x-x+7=0
x=7,1
hance ans=7,49

Like? Yes (1) | No   

ananthavalli   10 years AGO

for this question the equation is:
Present age of father and son is x^2&x then the equation becomes (x^2-1)=8(x-1),by solving this we get x=7..son's age=7,father's age=49

Like? Yes (1) | No   

kusuma   10 years AGO

lets take father age=x,son\'s age=y
from given information,
x-1=8(y-1)..............(1)
x=y^2...................(2)
by solving above two equations we can get y=1,7
y=1 is not possible so y=7 and x=49

Like? Yes (1) | No   

Ravi Bhalani   10 years AGO

present age of son y and that of father is x;
now according to given condition,
x-1=8(y-1)......(1)
x=y^2...........(2)
Solving (1) & (2) we get y=1 or y=7
y=1 is not possible since if y=1 then x=1
So,y=7 & x=49
Present age of father is 49
Present age of son is 7

Like? Yes (1) | No   

Madhavee latha   10 years AGO

Solving the euations f-1=8(s-1) and f=s^2 we get the father age 49 ans sons age is 7

Like? Yes (1) | No   

akrati   10 years AGO

Let father present age is y and son present age is x
It is given that
(y-1)=8(x-1)
y=x*x
x^2-8x+7=0
x=7
y=49

Like? Yes (1) | No   

Nilay   10 years AGO

7-1=6
49-1=48
&6*8=48

Like? Yes (1) | No   

swati nath   10 years AGO

X-1=8(Y-1)
X=Y^2
So Y^2-1=8(Y-1)
(Y-1)(Y+1)=8(Y-1)
Y+1=8
Y=7
So X=49

Like? Yes (1) | No   

Arigela Naga Vineel   10 years AGO

7and 49 a year ago it would be 6:48 that is eight times

Like? Yes (1) | No   

sruthi   10 years AGO

9 is answer 7,49

Like? Yes (1) | No   

Anshu kumar   10 years AGO

sqrt of 49 = 7
49-1=48
7-1=6
6*8=48

Like? Yes (1) | No   

Hanish   10 years AGO

Let x be fathers age and y be sons age
then,A.T.Q,
(x-1)=8(y-1) -1)
x=y^2 -2)
from 1 and 2,we have
y=7 and x=49
Therefore option 9)

Like? Yes (1) | No   

bandi gowthami   10 years AGO

let father's present age=f
son's present age=s
given
f=x^2
&
f-1=8*(s-1)
f-1=8s-8
put f=s^2
s^2-1=8s-8
s^2-8s+7=0
solving this
s=1 or s=7
if s=7;
f=49

ans:9

Like? Yes (1) | No   

mulakala kota naga harish babu   10 years AGO

from options only two options produce a square so beter to go with optons

Like? Yes (1) | No   

nagineni sukumar   10 years AGO

Let father's age=x ,son's age=y
one year ago (x-1)=8(y-1)
present year x=y2
y2-8y-7=0
y=7; x=49

Like? Yes (1) | No   

D.Gnaphika   10 years AGO

let fathers present age be f and son,s present age be s then according to conditions f-1=8(s-1) n f=s^2
so sloving above equations we get s=7 and f=49

Like? Yes (1) | No   

hareesh   10 years AGO

suppose 1 year ago 6,48
then present 7,49=>7^2=49
so their present ages is 7,49

Like? Yes (1) | No   

AMIT SINGH   10 years AGO

current age of father and son be x and y.
so, x=y^2 -----(1)
and 1 year ago, the relation is
x-1=8(y-1)
x+7=8y
substituting equation 1
y^2-8y+7=0
so, y=1 or 7
selecting 7 as our required solution
hence, age of son=7 years
age of father=49 years.

Like? Yes (1) | No   

aditya   10 years AGO

quadratic and linear eqautions according to the given question give the answer as option 9 on solving

Like? Yes (1) | No   

Saran kumar    10 years AGO

Equations:
r-1 = 8(s-1)
r = s^2
----
Substitute for "r" and solve for "s":
s^2-1 = 8s-8
s^2-8s+7 = 0
Factor:
(s-7)(s-1) = 0
Acceptable solution:
s = 7 yrs (son's age now)
----
r = s^2 = 49 (father's age now)

Like? Yes (1) | No   

shree   10 years AGO

465735h

Like? Yes (1) | No   

mansi garg   10 years AGO

F=S^2
F+1=8(S+1)
S^2-8S+7=0
S=7 F=49

Like? Yes (2) | No (4)  

ANUP KUMAR   10 years AGO

let age of the son is S and age of the father is R
A/Q before 1 year age of the son is S-1 and that of father is R-1.so, at this time R-1=8(S-1)---(1)
now at present time R=S^2---(2)
by solving (1) and (2)
S=7 & R=49
option (9) is correct

Like? Yes (3) | No (5)  

Bhavna   10 years AGO

current father age=f
son age=s
f=s^2
(f-1)=8(s-1)
(s^2-1)=8(s-1)
s=7
f=s^2=49

Like? Yes (1) | No (3)  

Devesh Agrawal   10 years AGO

Let father and son's current age be x and y respectively. Then,
x-1=8(y-1) and x=y^2. Hence, solving y^2-8y+7=0.
x=49,y=7

Like? Yes (1) | No (3)  

Kowshik Sarker   10 years AGO

Let father's and son's present age respectively x and y. So according to the given condition
(x-1)=8(y-1)....and x=y^2
solving this 2 equation we get y=7,x=49
which is option 9.

Like? Yes (1) | No (3)  

Anand Singh   10 years AGO

let father's present age is x,
and son's present age is y,
now according to question.......
(x-1)=8(y-1)------------------(1)
and

x=y^2---------------------(2)
by solving both equation we find
x=49.
y=7.
so
father's present age is 49
and son's present age is 7.

Like? Yes (1) | No (3)  

vishnuvardhan   10 years AGO

let fathers be f sons be s
f-1=8*(s-1)
f=s^2;
solving
f=8s-7
s^2-8s+7=0
s=1,7
s cannot be1
s=7
f=49

Like? Yes (1) | No (3)  

Vishal Chugh   10 years AGO

Let the age of father be 'f' and that of son be 's'
The two equations formed will be:
f - 1 = 8(s - 1) ---- (1)
f = s^2 ---- (2)

Solving the two equations we get:
s = 1, 7
But for s = 1, the answer will be invalid, therefore, the solution will be s = 7 and f = 49

Like? Yes (1) | No (3)  

pankaj kumar   10 years AGO

f-1 =8(t-1)
f=t^2

so f=1,7
1 is not possible
so 7,49

Like? Yes (1) | No (3)  

Rahul Das   10 years AGO

let 1 years ago
son's age=x
father's age=8x
present age of
son=x+1
father=8x+1
so that according to question 8x+1=(x+1)^2
x=6
so son's present age=x+1=7
father's present age=8x+1=49

Like? Yes (1) | No (3)  

shreyansh pandey   10 years AGO

let,
present age of son = x
then,
present age of father = x^2
One year ago,
age of father = x^2 - 1
age of son = x - 1
according to question
father\'s age = 8 * son\'s age
then,
x^2 - 1 = 8 * ( x - 1 )
x^2 - 1^2 = 8 * ( x - 1)
( x - 1 )( x + 1 ) = 8 * ( x - 1)
x + 1 = 8
x = 7
thus
present age of son = 7
&
present age of father = 7^2 = 49
answer : 9)7,49

Like? Yes (2) | No (4)  

MRITUNJAY KUMAR   10 years AGO

A year ago let x be the age of son,then father age will be 8x.
present age of son and father will be (x+1)and (8x+1) resp.
A/Q (x+1)^2=8x+1;x=0&6,
hence present age of son and father will be 7 and 49 resp.

Like? Yes (1) | No (3)  

Gaurav shah   10 years AGO

fathers present age=x
sons present age=y
(x-1)=8(y-1) and x=y^2
y^2-1=8y-1
y=7 and x=49

Like? Yes (1) | No (3)  

VIMALRAJ V   10 years AGO

consider present age of father is 49.
his age is square of his son age i.e. 7 square is 49.
a year ago means father age is 48 then it is 8 times the son age(6*8=48).
Answer is 49,7 option 9

Like? Yes (1) | No (3)  

haritha   10 years AGO

let the present age of father be \'f\' and son be \'s\'
f=s*s
f-1=8(s-1)
8s-f=7
8s-s*s=7
(s-7)*(s-1)=0
s=7, s=1
s=7 and f=49

Like? Yes (1) | No (3)  

KODEISWARAN ELANGOVAN   10 years AGO

f=s^2
f-1=8*(s-1)
by this eqns says that the answer is s=7&f=49

Like? Yes (1) | No (3)  

guddu   10 years AGO

A year ago,
let sun's age=x
father's age =8x
now,
present age of son's=x+1
present age of father's=8x+1
A/Q,
8x+1=(x+1)^2
after solving we get,x=6 i.e son's age a year ago
and their present age is 7,and father present age is 49.

Like? Yes (1) | No (3)  

AMIT KUMAR ANAL   10 years AGO

Son- x
Father- x^2
(X^2-1)/(X-1)=8

Like? Yes (1) | No (3)  

Devendra Marghade   10 years AGO

If age of father=F, Son=S
F-1=8(S-1), F-8S=-7 ---(i) &
F=S^2 ---(ii)
From (i) & (ii), S^2-8S+7=0, (S-1)(S-7)=0, S=7
So F=S^2=49

Like? Yes (1) | No (4)  

Dr.Dipin Singh   10 years AGO

If F is father's age and S is son's age now,
F-1=8*(S-1)
F=s^2,
solving these eqns, we get
S=7,1 (ignored)
so ages are 7,49.

Like? Yes (3) | No (6)  

Vaishali Gupta   10 years AGO

Let son's age -x
Fatherr age-x^2
1 year ago,
Fathet age -8(x-1)
8(x-1)+1=x^2
0n solving,
X=7
Son age-7,father age-49

Like? Yes (1) | No (4)  

pawan kumar chhipa   10 years AGO

let age of father and son is
x : y
a year ago is
x-1 = 8(y-1)
x-1-8y+8=0 ..........eq 1
present age is

x= y^2 .......eq2
solve we get
y=7
and x= 49
ans is 9) son 7 father is 49

Like? Yes (1) | No (4)  

Anupam Banerjee   10 years AGO

Let before 1 year sons as was x year.
So, father's age was = 8x year;

Present age of son = x+1
Present age of father = 8x+1

And as per the information provided
8x+1 = (x+1)^2
By solving it we got, x = 6;

So, present age of father = 8x+1 = 49 year;
present age of son = x+1 = 7 year;

Like? Yes (1) | No (4)  

Gitanjali K   10 years AGO

father's present age= x yrs
son's present age=y yrs

given, a year ago, the father's age was 8 times his son's age
x-1=8(y-1)........eq(1)

given, father's present age is square of his son's age
x=y^2............eq(2)

solving eq(1)&(2)
we get y=7 and x=49
so option (9) is the answer

Like? Yes (1) | No (4)  

SAM   10 years AGO

7^2 = 49
1 year ago son's age was 6 and father's age was 48 which is 8 times of son's age.

Like? Yes (1) | No (4)  

ram   10 years AGO

Because 7 is a square of the 49 and also in a previous year a fathers age is 48 and sons age 6 , so it is 8 times greater of sons age . So 7,49 is the answer

Like? Yes (1) | No (4)  

Bobby Nayak   10 years AGO

Present age of son= x
thus, present age of father= x^2

1 year ago,
son's age= x-1
father's age= x^2-1

Since father's age is 8 times the son's age 1 year ago, the equation formed is

x^2-1=8(x-1)
x^2-1=8x-8
x^2-8x+7=0
x^2-7x-x+7=0
x(x-7)-1(x-7)=0
(x-1)(x-7)=0
thus x=7
x cannot be 1 as father's age cannot be 1

Correct answer is option 9
Son's age= 7yrs
Father's age= 49yrs

Like? Yes (1) | No (4)  

pranshu goyal   10 years AGO

as,7's square is 7*7=49.And a year ago his son's age would be 6 and his age would be 48 and 6*8=48. that's the reason why the option 9 is correct

Like? Yes (2) | No (5)  

Mohammed Farook.S   10 years AGO

Let father's age = f; and son's age = s;
a year ago, f-1=s-1;
the father's age was 8 times his son's age, f-1=8(s-1)
f-1=8s-8;

And,
His present age is square of his son's age.
f=s2;

Substitute,
f-1=8s-8;
s2-1=8s-8;
s2-8s=-7;
s2-8s+7=0;
(s-1)(s-7)

so son,s age s=7;
father's age =f2=(7)2=49

so option 9 is correct.

Like? Yes (2) | No (5)  

sanghavi    10 years AGO

let x be fathers age and y be son's age
by the condition
x-1=8(y-1)
x=y^2
by substituting x
y^2-1=8y-8
y^2-8y+7=0
by solving above equation we get y=1 and y=7
then x=y^2
x=49

Like? Yes (1) | No (4)  

Santosh Sharma   10 years AGO

Let sons present age be S, and father's be F

A year ago
8(S-1)=F-1 -----(i)

And now
S*S=F -----(ii)
Substituting the value of F in (i)

Eq.
S*S-8S+7=0

quadratic eq. roots =1,7.
1 is not possible as S*S=F,
as Father and Son's Age can't be equal.

The answer is 7
and its square (father's age)=49.

Like? Yes (1) | No (4)  

Dinesh thatti   10 years AGO

r-1 = 8(s-1)
r = s^2
----
Substitute for \"r\" and solve for \"s\":
s^2-1 = 8s-8
s^2-8s+7 = 0
Factor:
(s-7)(s-1) = 0
Acceptable solution:
s = 7 yrs (son\'s age now)
----
r = s^2 = 49 (father\'s age now)

Like? Yes (1) | No (4)  

Varunraj Reddy   10 years AGO

Option 9 follows both conditions.

Like? Yes (1) | No (4)  

Gourango   10 years AGO

Let their current age be F and S
so, (F-1)=8(S-1)...(1)
and F=S^2...(2)
solving (1) and (2)
s^2-1=8S-8
or S^2-7S-S+7=0
or (s-7)(s-1)=0
s can't be 1
so, s=7 F=49

Like? Yes (1) | No (4)  

MUNISH YADAV   10 years AGO

Let present ages of father and son be f and s years.
So, f-1=8(s-1)
f=s^2
Solving we get f=49,s=7

Like? Yes (1) | No (4)  

vandana   10 years AGO

one year ago,father age=8x if the son age was x.
present age of father is 8x+1.and the son age is x+1.
A/Q,8x+1=(x+1)^2
=>8x+1=x^2+1+2x
=>x^2-6x=0
=>x=6,
present age of father=8x+1=49,sons age=x+1=7

Like? Yes (1) | No (4)