Question

Question #39436

Answer 1

`9" and " 15`

Explanation:

Let one number be represented by x

Then the other number will be `2x-3` That is 3 less than twice the other which is x.

Forming an equation.

`rArrx+2x-3=24larr" sum of numbers is 24"`

`rArr3x-3=24`

add 3 to both sides of the equation.

`3xcancel(-3)cancel(+3)=24+3`

`rArr3x=27`

To solve for x, divide both sides by 3

`(cancel(3) x)/cancel(3)=27/3`

`rArrx=9`

The 2 numbers are.

`x=9" and " 2x-3=(2xx9)-3=18-3=15`

`color(blue)"As a check " 9+15=24`