Given: Ratio between present ages of A & B is 7 : 4. Difference between the age of A, 4 years ago and the age of B 8 years hence are equal Calculation: A : B = 7 : 4 ⇒ A = (7 × B)/4 Now,difference between the age of A, 4 years ago and the age of B 8 years hence are equal ⇒ (A - 4) = (B + 8) ⇒ ((7 × B)/4) - 4 = (B + 8) ⇒ B = 16 years ∴ A = (7 × B)/4 = (7 × 16)/4 = 28 years Sum of ages of A and B = 28 + 16 = 44 years