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Averages
The average of a couple was 23Yrs when they were married 5Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 20Yrs now. How old is the
child now ?
A)2 Yrs
B)4 Yrs
C)3 Yrs
D)1 Yrs
E)None of these
Read Solution (Total 33)
-
- (a+b-5-5)/2=23;
a+b=56;
a+b+c/3=20;
solving both c=4;
B is the answer - 12 years agoHelpfull: Yes(44) No(2)
- Age og child : B)4 yrs
let d ages of the couple be 'a' and 'b'
-> since the avg was 23 5 years ago.. the avg currently would be 28 yrs..
-> hence, (a+b)/2=28... a+b=56
the avg of couple n child's age is 20
let age of child be 'c'
hence, a+b+c=20*3=60...
thus, age of child is 4yrs - 12 years agoHelpfull: Yes(24) No(4)
- ans is b 4ys
sol- let couple be x & y;
a/q- before 5 yrs=
x-5+y-5=23*2;
x+y=56;
again, let z be child,
so, x+y+z=20*3;
so, z=4yrs.
- 12 years agoHelpfull: Yes(9) No(0)
- average of couple 5 yr ago =23;
average of today =23+5=28;
average of child and couple today= (2*28+child)/3=20;
so child =60-56=4 yr - 10 years agoHelpfull: Yes(7) No(0)
- ANSWER: B [4 yrs]
SOLUTION:
Say, Cm,Cf,c are representing current ages of Couple-male, Couple-female and Child.
Avg. of couple [2 people], 5 yrs ago= 23 yrs.
So, (Cm-5)+(Cf-5)=2*23=46 => Cm+Cf=56
Avg. of couple+child [3 people], now=20yrs.
So, (Cm+Cf+c)=3*20=60
We've already found the value of (Cm+Cf) i.e., 56.
Therefore, c=60-56=4 yrs [Child's current age=4yrs] - 12 years agoHelpfull: Yes(2) No(0)
- (x-5)+(y-5)/2=23=>x+y-10/2=23=>x+y=56
x+y+c/3=20=>56+c/3=20=>56+c=60=>c=4yrs - 11 years agoHelpfull: Yes(1) No(2)
- total age of couple before 5 year is 23*2=46.than after 5 year the sum of their age is 46+10=56.than at present sum of their age is 20*3=60..so child age is 60-56=4 year..
- 10 years agoHelpfull: Yes(1) No(0)
- Ans B) 4yrs
- 9 years agoHelpfull: Yes(1) No(0)
- Ans: 4yrs.
- 12 years agoHelpfull: Yes(0) No(4)
- none of these
- 11 years agoHelpfull: Yes(0) No(6)
- 5 yrs ago...(H-5)+(w-5)/2=23..from this h+w=56
h+w+c/3=20....
h+w+c=60....then c=4 - 10 years agoHelpfull: Yes(0) No(0)
- 4 let x be the age of couple added together at present,then (x-10)/2=23,
therefore x=56. let the age of child be y,then (56+y)/3=20,so y=4.
age of child=4yrs - 10 years agoHelpfull: Yes(0) No(0)
- before 5 yrs;
age of couple=(23*2)=46 yrs
after 5 yrs;
age of couple=46+5=51 yrs
now,
age of couple & child=60 yrs
so,age of child=60-(51+5)=4 yrs
- 10 years agoHelpfull: Yes(0) No(0)
- let d ages of the couple be 'a' and 'b'
-> since the avg was 23 5 years ago.. the avg currently would be 28 yrs..
-> hence, (a+b)/2=28... a+b=56
the avg of couple n child's age is 20
let age of child be 'c'
hence, a+b+c=20*3=60...
thus, age of child is 4yrs
- 10 years agoHelpfull: Yes(0) No(0)
- 4 yrs. (b) {(x+y)/2}-5=23..so,,x+y=56..so y=56-x
{x+(56-x)+c}/3=20..so.c=4 - 10 years agoHelpfull: Yes(0) No(0)
- (a+b)/2=28;
(a+b+c)/3=20;
c=4 - 10 years agoHelpfull: Yes(0) No(0)
- x,y=couple's present ages
5 yrs ago:(x-5)+(y-5)=23*2=46
presently:x+y+z=20*3=60
so z =60-56=4yrs - 10 years agoHelpfull: Yes(0) No(0)
- E 23+5=28 avg. Present age of couple.
Let, x be d age of child
So 28+x/2=20
X=12 - 10 years agoHelpfull: Yes(0) No(1)
- let avg age of the couple five yrs ago be (a+b)/2-5=23
and avg age including their child be (a+b+c)/3=20
solving both we get c=4
so b is the ans - 10 years agoHelpfull: Yes(0) No(0)
- (20*3)-{2*(23+5)}=4 years..
Ans = B
- 10 years agoHelpfull: Yes(0) No(0)
- If we assume x and y as ages of couple,
we have x+y-10/2=23
so we have x+y=56
given average of couple and child as 20yrs
let child age be z years
then,x+y+z/3=20
as we know value of x+y,substitute this 56 value in above equation
56+z/3=20
so z=4yrs,which is the age of child.
answer is 4yrs - 10 years agoHelpfull: Yes(0) No(0)
- let husband =X yrs
wife =y yrs
child= z yrs
avg 5 yrs ealier (x-5)+(y-5)/2=23
on solving, x+y=56
avg nw x+y+z/3=20
56+z=60
child age z=4yrs - 10 years agoHelpfull: Yes(0) No(0)
- Total age of the couple before 5 years=23*2=46
Let now the child is x years,
Now the total of three=46+10+x=56+x
so 56+x=20*3 x=4 - 10 years agoHelpfull: Yes(0) No(0)
- B)
c-10/2=23
c=56
c+child/3=20
child=4yrs - 10 years agoHelpfull: Yes(0) No(0)
- (56+x)/3=20;
x=60-56=4yr - 10 years agoHelpfull: Yes(0) No(0)
- answer is b)4yrs
- 10 years agoHelpfull: Yes(0) No(0)
- before 5 yrs avg age was 23 yrs. so present age will be 23 + 5 = 28; but given that the avg of three is 20 but the age of couple 28+28. thus 28-20= 8. and for couple it will be 8+8 = 16.
so we can found the age of child is 20-16 = 4 yrs
- 10 years agoHelpfull: Yes(0) No(0)
- x+y/2=23+5
=51
now child age and couple average age is x+y+z/3=20
=60
we know that x+y=51 then
x+y+z=60
51+z=60
=60-51
=9
then present age of children is=9-5=4 - 10 years agoHelpfull: Yes(0) No(0)
- ans :-4
a+b=56
a+b+c=60
c=4 - 9 years agoHelpfull: Yes(0) No(0)
- answer is 4 years
- 9 years agoHelpfull: Yes(0) No(0)
- (M-5+w-5)/2=23-->M+W-10=46-->M+W=56
(M+W+C)/3=20
56+c=60
C=4y - 8 years agoHelpfull: Yes(0) No(0)
- Their present average,after 5 years
(M+W)/2=28,
M+W=56.
After birth of child (M+W+C)/3=20
M+W+C=60
Child's age is 60-56=4years - 8 years agoHelpfull: Yes(0) No(0)
- H+W=23+23
after 5 years H+W=56
given H+W+C=20+20+20
H+W+C=60
56+c=60
c=4 yrs - 4 years agoHelpfull: Yes(0) No(0)
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