Question

The sum of three numbers is $98$. The ratio of the first to the second is $2:3$ and the ratio of the second to the third is $5:8$. Find the second number.

• A. $15$
• B. $20$
• C. $30$
• D. $32$

Answer 1

Answer: (C)

$30$

Let the three numbers be A,B and C respectively

$A:B=2:3$ (1)

$B:C=5:8$ (2)

Multiplying (1) by 5 and (2) by 3,

$A:B=10:15$

$B:C=15:24$

$A:B:C=10:15:24$

Sum of ratio = $10+15+24=49$

B = $\frac{15}{49}\times 90=30$