Railway Recruitment Board Mathematics — Question 1699
Question
Two numbers are in the ratio 5 : 8. If 6 is added to each, the ratio becomes 2 : 3. What is the smaller number?
- 24
- 48
- 40
- 30
Correct answer
D — 30
Explanation (English)
Let the numbers be 5x and 8x. (5x+6)/(8x+6) = 2/3 → 3(5x+6) = 2(8x+6) → 15x+18 = 16x+12 → x = 6. Smaller number = 5x = 30.
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