Correct Answer - Option 2 : 16, 28, 36
Given:
The ratio of present ages of three persons are in the ratio 4 : 7 : 9
8 years ago sum of their ages were = 56
Calculation:
Let us take the ratio of ages be 4x, 7x, 9x respectively
Ages of the person before 8 years = (4x - 8), (7x - 8), (9x - 8)
According to the question
⇒ (4x - 8) + (7x - 8) + (9x - 8) = 56
⇒ 20x - 24 = 56
⇒ 20x = 80
⇒ x = 4
Substituting the values in ratio
⇒ 4 × 4 : 7 × 4 : 9 × 4 = 16 : 28 : 36
∴ The present ages of 3 persons are 16, 28, 36