The ratio of Rahul's age and his son Aman's age is 9:1 and the product of their ages is 144. What will be the sum of their ages after four years?
- A40
- B44
- C48
- D46
Solution & Step-by-step Explanation
Let Rahul's current age be 9x and Aman's current age be 1x.
Given that the product of their ages is 144:
9x×x=144
9x
2
=144
x
2
=
9
144
=16
x=
16
=4
Now, calculate their present ages:
Rahul's present age = 9×4=36 years
Aman's present age = 1×4=4 years
Sum of their current ages = 36+4=40 years.
After 4 years, each person will grow older by 4 years, so the total sum will increase by 2×4=8 years:
Sum after 4 years=40+8=48 years
Given that the product of their ages is 144:
9x×x=144
9x
2
=144
x
2
=
9
144
=16
x=
16
=4
Now, calculate their present ages:
Rahul's present age = 9×4=36 years
Aman's present age = 1×4=4 years
Sum of their current ages = 36+4=40 years.
After 4 years, each person will grow older by 4 years, so the total sum will increase by 2×4=8 years:
Sum after 4 years=40+8=48 years