SOLUTION: the difference of two numbers is 9. twice the first number added to the second number is 24. find the two numbers.

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Question 400066: the difference of two numbers is 9. twice the first number added to the second number is 24. find the two numbers.
Found 2 solutions by ewatrrr, Jk22:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

difference of two numbers is 9

Let x and (x+9) represent the first and second number respectively

Question states***

 2x + (x+9)  = 24

Solving for x

       3x = 15

        x = 5   Second number is 14  (5+9)

CHECKING our Answer***

  10 + 14 = 24

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!

let a,b be the 2 numbers, then

a-b=9
2a+b=24

from the 1st equation we get a=9+b, if we substitute in the 2nd :
18+2b+b=24 hence 3b=6, and so b=2, giving a=11

we verify : 11-2=9 and 22+2=24