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The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?

Correct answer: B. 30

  • A. 20
  • B. 30
  • C. 48
  • D. 58

Explanation

Let the first two numbers be 2k and 3k, and the last two be 5m and 8m. Since 3k = 5m, use m = 3t and k = 5t, giving the numbers 10t, 15t and 24t; their sum is 49t = 98, so t = 2 and the second number is 30. The likely wrong choice is 20, which comes from using only the first ratio and overlooking the second ratio.

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