Question

2 numbers are in the ratio 2:3 if 5 is added to each number the ratio become 5:7. find the number

Answer 1

2x+3x+5=5x+7x
5x+5=12x
5=12x-5x
5=7x
5/7=x
thus,5/7is required answer.

Answer 2

2x/3x
2x+5/3x+5 = 5/7
by cross multiplication
7 (2x+5)=5 (3x+5)
14x+35=15x+25
14x-15x=25-35
-1x=-10
both sides negative
minus and minus cut
so
x=10/1
x=10