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 :__________?

A. 20

B. 30

C. 48

D. 58

✅ The correct answer is option B. 30.
Let the three parts be A, B, C Then,

A : B = 2 : 3 and B : C = 5 : 8 (5 X 3/5 ) : (8 X 3/5 ) = 3 : 24/5

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

B = (98 X 15/49 ) = 30.

326. 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 :__________?