SOLUTION: the sum of two numbers is 54 twice the smaller number is 6 more than the larger number.find the numbers..can you give me the solution.?

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Question 765952: the sum of two numbers is 54 twice the smaller number is 6 more than the larger number.find the numbers..can you give me the solution.?
Answer by MaartenRU(13) About Me  (Show Source):
You can put this solution on YOUR website!
We will call the numbers x and y; x being the smaller number and y being the larger number. Then the following equations arise:
x%2By=54
2x=y%2B6
Now this is a standard 2x2 linear system we can solve:
x%2By=54
2x-y=6
Add the equations:
3x=60
x=20
So x=20, and thus y=34