SOLUTION: The sum of two numbers is 23. Twice the greater number added to three times the smaller number is 57. Find the numbers

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Question 219469: The sum of two numbers is 23. Twice the greater number added to three times the smaller number is 57. Find the numbers
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the smaller number and y = the larger number.
x%2By+=+23 Rewrite this as x+=+23-y and substitute for x in the equation below:
2y%2B3x+=+57%7D%7D%0D%0A%7B%7B%7B2y%2B3%2823-y%29+=+57 Solve for y.
2y%2B69-3y+=+57
-y%2B69+=+57 Subtract 69 from both sides.
-y+=+-12 Multiply both sides by -1.
highlight%28y+=+12%29 and x+=+23-12 so...
highlight%28x+=+11%29