Discussion
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:
Answer: B
Let the three part be \(A, B, C.\)
Then, \(A:B = 2:3\) and \(B:C = 5:8 = (5 \times \frac{3}{5}):(8 \times \frac{3}{5}) = 3:\frac{24}{5}\)
\(\Rightarrow A:B:C = 2:3:\frac{24}{5} =10:15:24\)
\(\Rightarrow B = (98 \times \frac{15}{49}) = 30.\)
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