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Ashok's mother was 3 times as old as Ash...

Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?

A

10 years

B

15 years

C

20 years

D

25 years

Text Solution

Verified by Experts

The correct Answer is:
C

Suppose the present age of Ashok is x years and that of his mother is y years.
5 years ago
3 (x - 5) = (y-5)
`implies 3x - 15 = y - 5`
`implies3x- y = 10" "…..(i)`
5 years hence,
2 (x + 5) = (y + 5)
`implies 2x + 10 = y + 5`
`implies2x -y =-5" "......(ii)`
From equations (i) and (ii)
x=15 years.
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