A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half, of the age of his mother. How old is the mother at present ?

Options

A. 32 y
B. 36 yr
C. 40 yr
D. 48 yr

Answer

C

Explanation

Let person.s mother present age = `x`
`therefore` Person.s present age `= 2/5 x yr`
According to the question, After 8 yr
`1/2(x + 8) = ((2x)/5 + 8)`
`implies (x + 8)/2 = (2x + 40)/5 `
`implies 5x + 40 = 4x + 80 implies x = 40 yr`
`therefore` Present age of person.s mother = `40 yr `