Question

what must be added to each term of the ratio 7:13 so that the ratio becomes 2:3

Answer 1

Let x is added to the 7:13 to become 2:3

=> (7 + x)/(13 + x) = 2/3

=> 3(7 +x) = 2(13 + x)

=> 21 + 3x = 26 + 2x

=> 3x - 2x = - 21 + 26

=> x = 5

Answer 2

Ratio=7:13
Numbers=7x,13x
Add 2 to 13x and 3 to 7x
New numbers=10x,15x
Ratio=10x/15x
=2:3