The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and

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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:

Options:

A . 20

B . 30

C . 48

D . 58

Answer: Option B

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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