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Two numbers are in the ratio 2 : 3. If 4 is subtracted from each, they become 3 : 5. The numbers are
A(2, 3)
B(8, 12)
C(16, 24)
D(4, 6)
Answer & Solution
Correct answer: C. (16, 24)
1. Let the numbers be 2k and 3k for some positive k.
2. After subtracting 4: (2k - 4)/(3k - 4) = 3/5.
3. Cross-multiplying: 5(2k - 4) = 3(3k - 4), so 10k - 20 = 9k - 12.
4. k = 8, so the numbers are 2(8) = 16 and 3(8) = 24.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q13_
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