Mohan's Mother is three times as old as Mohan. After 6 years, his mother will be two times as old as he will be. Find the age of Mohan.
Answer & explanation
Correct answer: option 2
Let the age of mohan's mother = a years
and age of mohan = b years
After 6 years, age of mother = (a + 6) years
After 6 years, age of mohan = (b + 6) years
Now according to question:
⇒ a : b = 3 : 1
⇒ a & b = 3R & 1R
After 6 years:
⇒ (a + 6) : (b + 6) = 2 : 1
⇒ \(\frac{3R\;+\;6}{1R\;+\;6}\) = \(\frac{2}{1}\)
⇒ 3R + 6 = 2R + 12
⇒ 1R = 6
So, age of Mohan = 1R = 6 years.