Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?
Correct answer: B. 50
- A. 40
- B. 50
- C. 60
- D. 30
Explanation
Write the numbers as 5x and 4x. Their difference is 5x − 4x = x = 10, so the larger number is 5x = 5 × 10 = 50. Students may choose 40 because it is the smaller number in the 5:4 ratio, not the larger one.
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About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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