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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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