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 his mother how old is the mother at present

Answer 1

Answer:

40

Step-by-step explanation:

Let person's present age is p and that of mother's is m

p=2m/5

p+8=m+8/2

2p+16=m+8

2p+8=m

p=(m-8)/2

2m/5=(m-8)/2

4m=5m-40

m=40

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)

x = 40 years