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

Quantitative Aptitude (CGL) Ratio, Proportion

The sum of three numbers is 98. The ratio of the first to the second is 2/ 3, and the ratio of the second to the third is 5/ 8. The second number is what?

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Explanation:

A+B+C = 98
A:B = 2:3
B:C = 5:8
Since both ratios consider B, write A:B:C as one ratio around B’s LCM of 15.
A:B => 10:15
B:C => 15:24
A:B:C = 10:15:24
10+15+24 = 49 “parts”, but we know A+B+C = 98 so double each value.
∴ A:B:C is actually 20:30:48
B is 30.