The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?
Correct answer: C. 40
- A. 28
- B. 32
- C. 40
- D. 64
Explanation
Write the numbers as 2x and 3x. Their LCM is 6x, so 6x = 48, giving x = 8; their sum is 2 x 8 + 3 x 8 = 40. The likely mistake is choosing 32, which comes from adding the ratio parts, 2 + 3, and multiplying incorrectly.
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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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