Question

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:
1. 48
2. 20
3. 49
4. 30

Answer 1

Correct Answer - Option 4 : 30

Given:

Sum of three numbers = 98

Ratio of first and second number = 2 ∶ 3

Ratio of second and third number = 5 ∶ 8

Calculation:

Let the first number be 2x and second number be 3x

As, the ratio of second and third number = 5 ∶ 8

3x ∶ Third number = 5 ∶ 8

⇒ Third number = 24x/5

Sum of all numbers = 98

⇒ 2x + 3x + 24x/5 = 98

⇒ 49x/5 = 98

⇒ x = 10

Second number = 3x = 3 × 10 = 30

∴ Second number is 30