Question

Three numbers A, B and C are in the
ratio 12:15:25. If the sum of these
numbers is 312, then the ratio between
the difference of A and B and the
difference of Cand B is
A) 3:10
B) 7:3
C) 3:7
D) 10:3​

Answer 1

Answer:

the ans should be option (A)

i.e., 3:10

Answer 2

Answer:

let the numbers be 12x , 15x , 25x

given sum of the numbers = 312

12x + 15x + 25x = 312

52x = 312

=> x = 6

so , A = 12(6) = 72

B = 15(6) = 90

C = 25(6) = 150

difference between A and B = 90 - 72 = 18

difference between C and B = 150 - 90 = 60

now the ratio = 18 : 60 = 3 : 10