Question

two numbers are in the ratio 3 ratio 5 if 9 is subtracted from each of the numbers the ratio becomes 12 ratio 23 find the greater number

Answer 1

given, 2 numbers in ratio of 3:5
so, let 1st number be 3x
and second number would be 5x

and given that,
3x-9/5x-9= 12/23
implies, 69x- 207 = 60x-108
implies, 9x= 99
x =11

So, the numbers are 33 and 55
greater number is 55