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:
Answer: Option B
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Let the three parts 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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