SOLUTION: the sum of two numbers is 143. Their difference is 136 less than the sum. What are the two numbers?

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Question 698281: the sum of two numbers is 143. Their difference is 136 less than the sum. What are the two numbers?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+143
Equation 2: A+-+B+%2B+136+=+143
Solve equation 1 for one of the variables
Equation 1: A+%2B+B+=+143
A+=+143+-+B
Plug (143 - B) into equation 2 for A
Equation 2: A+-+B+%2B+136+=+143
%28143+-+B%29+-+B+%2B+136+=+143
Combine like terms
279+-+2B+=+143
Add 2B to both sides
279+=+143+%2B+2B
Subtract 143 from both sides
136+=+2B
Divide both sides by 2
highlight%2868+=+B%29
Plug 68 into equation 1 for B
Equation 1: A+%2B+B+=+143
A+%2B+%2868%29+=+143
Subtract 68 from both sides
highlight_green%28A+=+75%29