Question

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 B and C is 8 years. Find out the age of B ?

Answer 1

Answer:

Step-by-step explanation:

the correct answer is 40 years..

solution:

P = 2/5 M

after 8 years

P+8 = 1/2(M+8)

substitute P = 2/5 M

2/5 M = 1/2 M + 4

hence M = 40 years

Answer 2

Answer:

Let the mother age be x years.

Then, the persons present age will be 2/5 x years.

According to Question now,

(2/5 x + 8) = 1/2 x + 8

2(2x + 40) = 5(x + 8)

4x + 80 = 5x + 40

80 - 40 = 5x - 4x

x = 40 years