The ratio of ages of A and B, 9 years ago was 3 : 4 . Four years ago, the ratio of their ages was 2 : 3. What will be the ratio of their ages 5 years from now?
Answer & explanation
Correct answer: option 4
A : B
3 : 4 → 9 years ago
2 : 3 → 4 years ago
ATQ,
\(\frac{3x + 5}{4x + 5}\) = \(\frac{2}{3}\)
9x + 15 = 8x + 10
x = 5
Therefore,
A : B
3x : 4x (9 years ago)
15 & 20 (as x = 5)
present age of A =15 + 9 = 24
After 5 years age of A = 24 + 5 = 29 years
present age of B = 20 + 9 = 29 years
After 5 years age of B = 29 + 5 = 34 years
required ratio 29 : 34 (after 5 years from now)