SOLUTION: two numbers have a sum of 28. one number is 4 more than the other. find the numbers.

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Question 240719: two numbers have a sum of 28. one number is 4 more than the other. find the numbers.
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Setup:
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Equation 1:
Equation 2:
Solution:
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Since we know that Y = X + 4, plug (X + 4) into equation 1 for Y
Equation 1:
Simplify
Subtract 4 form both sides
Divide both sided by 2

Now plug 12 in for X into equation 2
Equation 2:


Checking the answer:
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Now go back to equation 1 and plug in 12 for X and plug 16 in for Y
Equation 1:



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