Question

two numbers are in the ratio 5:6,if 8 is subtracted each,the ratio becomes 4:5.find the numbers?

Answer 1

Let the first no.=5x
Other no.=6x
No.=5x+6x
ATC
(5x-8)+(6x-8)=4x +5x
11x-16=9x
11x-9x=16
2x=16
x=16/2
=8
So
one no.5×8=40
Other no.6×8=48

Answer 2

5x-8/6x-8=4x/5x
4x(6x-8)=5x(5x-8)
24x²-32x=25x²-40x
8x=x²
8=x

numbers are 4x=4*8=32
5x=5*8=40