SOLUTION: the difference of two numbers is 4. the sum of thrice the larger number and four times the smaller number is 61. find the numbers.

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Question 811963: the difference of two numbers is 4. the sum of thrice the larger number and four times the smaller number is 61. find the numbers.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: B+=+A+%2B+4
Equation 2: 3B+%2B+4A+=+61
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Plug (A+4) into equation 2 for B.
Equation 2: 3B+%2B+4A+=+61
3%2A%28A%2B4%29+%2B+4A+=+61
Multiply the 3 through.
3A+%2B+12+%2B+4A+=+61
Combine like terms.
7A+%2B+12+=+61
Subtract 12 from both sides.
7A+=+49%29
Divide both sides by 7.
highlight%28A+=+7%29
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Plug 7 into equation 1 for A.
Equation 1: B+=+A+%2B+4
B+=+%287%29+%2B+4
highlight_green%28B+=+11%29