Three numbers A. B and C are in the ratio of 12:15: 25. If sum of these numbers is 312, find the ratio between the difference of B and A and the difference of

C and B.

The ratio of difference between B and A and the difference between C and B is 3 : 10

Step-by-step explanation:

Three numbers A, B and C are in the ratio of 12: 15 : 25

Let the rational between the numbers be x. Hence the three numbers are:

A is 12x, B is 15x and C is 25x.

Sum of these numbers is 312,

12x + 15x + 25x = 312

52x = 312

x = 6

The rational is 6. Thus the three numbers are:

A = 12x = 12 * 6 = 72

B = 15x = 15 * 6 = 90

C = 25x = 25 * 6 = 150

Ratio between the difference of B and A and the difference of C and B to be calculated

Difference between B - A = 90 - 72 = 18

Difference between C - B = 150 - 90 = 60

Thus the ratio of difference between B and A and the difference between C and B is 18 : 60 or 3 : 10