Question 9

# Three numbers X, Y and Z are in the ratio of 12: 15: 25. If the sum of twice of these numbers is 614, the ratio between the difference of Y and X and the difference of Z and Y is:-

Solution

Given X, Y and Z are in the ratio 12: 15: 25

Let say X = 12k, Y = 15k and Z = 25k, where k is any constant.

Difference between Y and X = 15k - 12k = 3k..............................(1)

and Difference between Z and Y = 25k - 15k = 10k.....................(2)

Ratio of (1) and (2) = $$3k\div 10k = 3:10$$.