Answer:
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
