Question

Two numbers are in the ratio 3:5.if 9 is subtract from each, the new numbers are in the ratio 12:23

Answer 1

Given ratio of two numbers =3:5
Let the numbers be 3x,5x.

3x-9: 5x-9=12:23

23(3x-9)=12(5x-9)

69x-207=60x-108

69x-60x = 207-108

9x=99

x=11


The numbers are 11×3,11×5=33,55 .