Question

Five years ago, Mayank's mother was three
times as old as Mayank. After five years she
will be twice as old as Mayank. The present
age of Mayank is:
13 years
15 years
20 years
30 years​

Answer 1

Let us assume the present age of Mayank be P, then the 5 years before Mayank's age = P - 5
According to Question
Age of his mother before 5 years = 3 x (P - 5 )
Present age of his mother = 3 x (P - 5 ) + 5
After 5 Years Mayank's age = P + 5
After 5 Years Mother' age = 3 x (P - 5 ) + 5 + 5
Now again according to question,
After five years she will be twice as old as Mayank, then
3 x (P - 5 ) + 5 + 5 = 2 (P + 5)
⇒ 3P - 5 = 2P + 10
⇒ 3P - 2P = 10 + 5
⇒ P = 15
Mayank's present Age is 15 years.

Answer 2

The present age of mayank is :- 15 years.