The ages of A and B are in the ratio 5 : 7. Five years ago their ages were in the ratio 5 : 8. What are their respective present…

Question

The ages of A and B are in the ratio 5 : 7. Five years ago their ages were in the ratio 5 : 8. What are their respective present ages (in years)?

1. A. 22 & 36
2. B. 15 & 21 (Correct answer)
3. C. 25 & 42
4. D. 10 & 13

Correct Answer

Option B — 15 & 21

Detailed Solution & Explanation

The correct answer is 15 & 21.

Key Points

• A:B = 5:7. Let ages = 5x and 7x.
• Five years ago: (5x−5)/(7x−5)=5/8 → 40x−40=35x−25 → x=3. Ages: 15 and 21.