The ratio of ages of A and B, 8 years ago was 2 : 3. Four years ago, the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?
Answer & explanation
Correct answer: option 2
A : B
2 : 3 → 8 years ago
5 : 7 → 4 years ago
ATQ,
\(\frac{2x + 4}{3x + 4}\) = \(\frac{5}{7}\)
14x + 28 = 15x + 20
x = 8
Therefore,
A : B
2x : 3x (8 years ago)
16 : 24 (as x = 8)
+16 +16
32 40 (after 8 years from now)
4 : 5