SOLUTION: find two consecutive integers such that the sum of twice the first integer and three times the second integer is 28

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Question 535127: find two consecutive integers such that the sum of twice the first integer and three times the second integer is 28
Answer by lmeeks54(111) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = 1st integer
Let x + 1 = 2nd integer
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Given:
2x + 3(x + 1) = 28
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Simplify:
5x + 3 = 28
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Subtract 3 from both sides:
5x = 25
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x = 5
x + 1 = 6
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Check your work:
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2(5) + 3(6) = 28
10 + 18 = 28
28 = 28 checks...
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x = 5, x + 1 = 6
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cheers,
Lee