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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:

20
30
48
58

Correct Answer: 30

Explanation:

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

A : B = 2 : 3 and B : C = 5 : 8 =	❨	5 x	3	❩	:	❨	8 x	3	❩	= 3 :	24
			5					5			5

⟹ A : B : C = 2 : 3 :	24	= 10 : 15 : 24
	5

⟹ B =	❨	98 x	15	❩	= 30.
			49

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