5 year hence, ratio of ages of A and B will be 7 : 5 and difference between their ages will be 4 years. What are present ages (in years) of A and B respectively?

• 5 years, 9 years

• 6 years, 5 years

• 9 years, 5 years

• 9 years, 6 years

C.

9 years, 5 years

Let A's present age = (7x - 5) years
      B's present age = (5x - 5) years
According to the question,
       7x - 5 - {5x - 5} = 4
⟹    7x - 5 - 5x + 5 = 4
⟹                2x = 4,  ⟹  x = 2
∴     A's present age = 7 x (2) - 5 = 9 yrs
      B's present age = 5 x (2) - 5 = 5 yrs