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.?

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) (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:

Now this is a standard 2x2 linear system we can solve:

Add the equations:

So x=20, and thus y=34
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