Question #39436

1 Answer
Jan 1, 2017

Answer:

#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#