SOLUTION: One number is seven less than another number. The sum of the numbers is thirty-three. Find the numbers.

Question 437200: One number is seven less than another number. The sum of the numbers
is thirty-three. Find the numbers.
Found 2 solutions by unlockmath, Adrish:
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
We can set up 2 equations, let x be one number and y be the other:
x=y-7
x+y=33
Let's do substitution:
y-7+y=33
Add 7 to both sides and divide by 2 to get:
y=20
Now we know:
x=13
Make sense?
RJ
www.math-unlock.com

Answer by Adrish(44) (Show Source): You can put this solution on YOUR website!
Solutions: Let the numbers be "x" and "y"
Given: x=y-7................(1)
and x+y=33...............(2)
substitute the value of x in equation(2) we get,
(y-7)+y=33
2y-7=33
2y=33+7
2y=40
y=40/2
y=20
Substitute the value of y in equation(1) we get,
x=20-7
x=13
Therefore the numbers are 13 and 20
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