Question

The sum of three numbers is 98. If the ratio of the first number to second number is 2 : 3 and that of the second number to the third number is 5 : 8, then the second number is:

1. 60
2. 30
3. 20
4. 34
5. 40

Answer 1

Correct Answer - Option 2 : 30

Given:

Sum of three numbers = 98.

Ratio of First number to Second number is 2 : 3.

Ratio of Second number to Third number is 5 : 8.

Calculation:

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

A : B = 2 : 3 and B : C = 5 : 8

⇒ \( 5 \times \frac{3}{5}\) : \(8 \times \frac{3}{5}\) = 3 : \(\frac{{24}}{5}\)

⇒ A : B : C = 2 : 3 : \(\frac{{24}}{5}\)

⇒ 10 : 15 : 24

⇒ B = \(98 \times \frac{{15}}{{49}}\) = 30.

∴ Second number is 30.