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?

Options

A. 10 years
B. 15 years
C. 20 years
D. 25 years

Answer

B

Explanation

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`
`implies 3x - y =10` ............ (i)
5 year hence ,
` 2(x +5) =(y+5)`
`implies 2x + 10 = y + 5 `
`implies 2x -y = -5` .......... (ii)
From equation (i) and (ii)
x = 15 years