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Two numbers are in the ratio 3:5. If 5 is added to each, the ratio becomes 2:3. The larger number is
A35
B30
C15
D25
Answer & Solution
Correct answer: D. 25
1. Let numbers be 3 x and 5 x.
2. (3 x + 5)/(5 x + 5) = 2/3.
3. Cross-multiply: 9 x + 15 = 10 x + 10, so x = 5.
4. Larger = 5 x = 25.
_Source: Selina Concise Mathematics Class 8, Ch 18 Linear Equations in One Variable (Mistral OCR'd PDF), section on ratio problems_
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