# Easy Ratios & Proportion Solved QuestionAptitude Discussion

 Q. 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. 20 ✔ B. 30 ✖ C. 48 ✖ D. 58

Solution:
Option(B) is correct

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

\begin{align*} A:B=2:3\text{ and }B:C=5:8=5\times \dfrac{3}{5}:8\times \dfrac{3}{5}&=3:\dfrac{24}{5}\\ \Rightarrow A:B:C=2:3:\dfrac{24}{5}=10:15:24\\ \Rightarrow B=98\times \dfrac{15}{49}=30 \end{align*}

## (2) Comment(s)

Komuraiah
()

$A:B= 2:3$

$B:C= 5:8$

__________

$10:15:24$

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

$B=98\times \dfrac{15}{49}$

$B=2 \times 15=30$

Brenden
()

How is it different from the solution provided? Sure you have avoided the fractional values.