The sum of three numbers is 98. If the ratio of the first

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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. 49
2. 48
3. 30
4. 20

Correct Option: C

Let the numbers be x, y and z. Then
x : y = 2 : 3 ; y : z = 5 : 8
∴ x : y : z = 2 × 5 : 3 × 5 : 3 × 8
= 10 : 15 : 24
Sum of the ratios
= 10 + 15 + 24 = 49

∴ The second number =	15	× 45 = 30
	49