SOLUTION: find two consecutive odd numbers such that seven times the smaller is 12 more than five times the bigger

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Question 701866: find two consecutive odd numbers such that seven times the smaller is 12 more than five times the bigger
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set up:
Equation 1: B+=+A+%2B+2 (This is the equation for consecutive odd numbers)
Equation 2: 7A+=+5B+%2B+12
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Plug (A+2) into equation 2 for B
Equation 2: 7A+=+5B+%2B+12
7A+=+5%2A%28A%2B2%29+%2B+12
Multiply the 5 through
7A+=+5A+%2B+10+%2B+12
Combine like terms
7A+=+5A+%2B+22
Subtract 5A from both sides
2A+=+22
Divide both sides by 2
highlight%28A+=+11%29
Now plug 11 into equation 1 for A
Equation 1: B+=+A+%2B+2
B+=+%2811%29+%2B+2
highlight_green%28B+=+13%29