Answers

Let the three numbers be x, y and z. Sum of the numbers is 98. x + y + z = 98………………(i) The ratio of the first to the second is 2/3. x/y = 2/3. x = 2/3 × y. x = 2y/3. The ratio of the second to the third is 5/8. y/z = 5/8. z/y = 8/5. z = 8/5 × y. z = 8y/5. Put the value of x = 2y/3 and z = 8y/5 in (i). 2y/3 + y + 8y/5 = 98 49y/15 = 98. 49y = 98 × 15. 49y = 1470. y = 1470/49. y = 30 . Therefore, the second number is 30. Answer: (c)

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