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

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. 20
  2. 30
  3. 48
  4. 58

Answer

LCM of 3 and 5 = 15

Let three numbers be 10x, 15x and 24x

10x + 15x + 24x = 49x = 98

x = 2

Three numbers are 20, 30 and 48. Second number is 30.

The correct option is B.