Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.

Question

asked Nov 22, 2020 42.5k views

1 Answer

Biggs · Answer 1 · 2020-11-28T23:01:20+0000

$x / y = 3 / 5 \\ it \: means = \\ 3y = 5x \\ x - y = 18 \\$

To solve we multiply the last equation by 5 and we get the following:

5x-5y=90

But 5x=3y and we replace it in this equation:

3y-5y=90

-2y=90

y=-45

and x-(-45)=18 , x+45=18

x=-27