The age of a mother is 4 times that of his son. Five year ago, the mother was nine times as old as h

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15 Dec 2015 Age Problem

The age of a mother is 4 times that of his son. Five year ago, the mother was nine times as old as his son was at that time. The present age of the mother is

OPtion

1) 44 years
2) 40 years
3) 46 years
4) 32 years
5) 36 years
6) 31 years
7) 32 years
8) 28 years
9) 42 years
10)27 years

Solution

Let the son's age be x then, mother's age = 4x
Therefore
4x-5 = 9(x-5)
5x = 40
x = 8
x = 32 years
Option 4)

Correct Option: 4 Best Solution (13)

ROHIT KUMAR DUBEY   9 years AGO

Let present age the mother age be M and son be S
M=4S
Also 5 yrs back
M-5=9(s-5)
M=9s-40
putting
s=M/4
M=32yrs

Like? Yes (3) | No   

DHIRENDRA KUMAR KASHYAP   9 years AGO

MOTHER IS 32 HENSE CHILD IS 8
5 YEAR AGO
MOTHER IS 32-5 =27
CHILD 8-5 = 3
3*9 =27

Like? Yes (2) | No   

anjali gupta   9 years AGO

mother's age=x
child's age=y
x=4y
x-5=9(y-5)
on solving,
y=8
x=32

Like? Yes (2) | No   

NIKHIL JAIN   9 years AGO

Mother's age
M=4S

5 years ago
(M-5)= 9(S-5)
M-5= 9S-45
9S-M=40
9S-4S=40
5S=40
S=8

hence mother's age= 4*8=32

Like? Yes (1) | No   

Yallapu Uday tarun kumar   9 years AGO

m=4s
m-5=9(s-5)
s=8
m=32

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Anandita Mukherjee   9 years AGO

present M=4S
5 years ago M-5=9(S-5)
4S-5=9S-45
S=8
then M=4S OR 4*8=32
hence M=32

Like? Yes (1) | No   

CHANDAN KUMAR BARIK   9 years AGO

let the present age of the boy= x & his mother's present age = 4x

5 years ago,
4x - 5 = 9( x- 5)
4x - 5 = 9x -45
5x = 40
x = 8(boy's present age)
So mother's present age is 4x =4*8 = 32

Like? Yes (1) | No   

Jaikumar Bhatia   9 years AGO

Present age of son =x
Present age of mother =y=4x
5yrs back
(y-5)=9(x-5)
(4x-5)=9(x-5)
x=8
Y=4*8=32
Ans is 32 yrs
Option is (4)

Like? Yes (1) | No   

Ashish Asthana   9 years AGO

If mother age is 32 at present then, it will be 27 ....5 years ago.
M=27 i.e. S= 3 which is 9 times
M=32 i.e. S=8 which is 4 times

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Hemavathy Nangan   9 years AGO

Mothers present age= 32 yrs
son, s age = 8 yrs

before 5 yrs
mothers age = 9 * sons age
27= 9(3)

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Deepanshu Chaturvedi   9 years AGO

32/4= 8years
(8-3)*5=32-5
Satisfies the equation

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Ashraf Mahmood    9 years AGO

M=4S
M-5=9(S-5)
4S-5=9S-45
S=8
M=32

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sumit kumar   9 years AGO

let 5 year ago
age of Aon is =x
mother age =9x
present age of son and mother are x+5 9x+5 respectively
a/c to question 9x+5=4(x+5)
x=3
mother age=4(present age of mother)
=4(3+5)
=32 year

Like? Yes (1) | No