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Question

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


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Solution

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = 5 × 35:8 × 35 = 3:245

A:B:C = 2:3:245 = 10:15:24

B = 1549 × 98 = 30  

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