devarshi-dt-logo

Question:

Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age. What are their present ages?

Solution:

Let Shobo's age be x years.
∴His mother's age will be: 6x years
After 5 years, Shobo's age = (x+5) years
Shobo's age after 5 years will be one-third of his mother's present age.
As per the question, the equation:
x + 5 = (6x)/3
3x + 15 = 6x
3x = 15
x = 5
Present age of Shobo: 5 years
Shobo's mother's age: 6x = 6 × 5 = 30 years