SOLUTION: find 3 consecutive integers where four times the smallest is seven more than 3 times the largest

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Question 345764: find 3 consecutive integers where four times the smallest is seven more than 3 times the largest
Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find 3 consecutive integers where four times the smallest is seven more than 3 times the largest.
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1st: x-1
2nd: x
3rd: x+1
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Equation:
4(x-1) = 3(x+1)+7
4x-4 = 3x+1+7
x = 12
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Cheeers,
Stan H.
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Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+1, & x+2 be the 3 integers.
4x=3(x+2)+7
4x=3x+6+7
4x-3x=13
x=13 ans. for the smallest integer.
13+1=14 ans. for the middle integer.
13+2=15 ans. for the largest integer.
Proof:
4*13=3*15+7
52=45+7
52=52