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

• A. 10
• B. 30
• C. 20
• D. 40

Answer 1

The correct option is B 30

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

$\Rightarrow A:B=2:3$
and
$\Rightarrow B:C=5:8$
$B:C=5\times \frac{3}{5}:8\times \frac{3}{5}$
$=3:\frac{24}{5}$

$\Rightarrow A:B:C=2:3:\frac{24}{5}=10:15:24$

$\Rightarrow B=\frac{15}{49}\times 98=30$