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Two numbers are in the ratio 3 : 5 and their sum is 64. Find the larger number.

Class 6Ratio and ProportionRatio and Proportion
  • A44
  • B80
  • C40
  • D36

Step-by-Step Solution

Total parts = 3 + 5 = 8. Each part = 64 ÷ 8 = 8. Larger number = 5 parts = .
Answer: C) 40

Key idea: What a ratio means

The ratio 2 : 3 says: for every 2 of one thing, there are 3 of another. In a fruit basket of 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3. **Order matters** — the ratio of oranges to apples in the same basket is 3 : 2. The two quantities must be in the same unit (you can't ratio apples to kilograms unless you convert).

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