Question #39436

1 Answer
Jan 1, 2017

9" and " 159 and 15

Explanation:

Let one number be represented by x

Then the other number will be 2x-32x3 That is 3 less than twice the other which is x.

Forming an equation.

rArrx+2x-3=24larr" sum of numbers is 24"x+2x3=24 sum of numbers is 24

rArr3x-3=243x3=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