SOLUTION: the smaller of two numbers is 9 less than the larger, and their sum is 37. find the numbers

Question 661024: the smaller of two numbers is 9 less than the larger, and their sum is 37. find the numbers
Answer by colliefan(242) (Show Source): You can put this solution on YOUR website!
First write the information as algebraic equations.
the smaller of two numbers is 9 less than the larger gives:
If one number is x, the other number is x-9
The sum is 37:
x+(x-9)=37
(x+x)-9=37
2x-9=37
2x-9=37
To solve this, remember whatever you do to one side, you must do to the other.
2x-9+9=37+9
2x+0=46
2x=46
2x*1/2=46*1/2
x=23
Check it. Is the sum of x and x-9 37?
23 + 14 =37
The numbers are 23 and 14.

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