SOLUTION: alyssa, lexxi, and melanie went to a concert and their seat numbers were consecutive integers such that twice the smallest was 11 more than the largest. find the seat numbers.

Question 513029: alyssa, lexxi, and melanie went to a concert and their seat numbers were consecutive integers such that twice the smallest was 11 more than the largest. find the seat numbers.

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Start by recognizing that from the smallest to the largest integer can be written as x, x+1, and x+2.
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Next you are told that twice the smallest (which twice x or 2x) equals eleven more than the largest which is 11 + (x + 2).
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Write this out as the equation:
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2x = 11 + x + 2
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Subtract x from both sides and you have:
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x = 11 + 2 = 13
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This tells us that the smallest seat number is 13. This means that the three seats are numbered 13, 14, and 15.
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Check to make sure that twice the smallest seat number (13 times 2) is 11 more than the largest seat number (15 + 11). It is, so the answer is correct.
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Hope this helps you to understand the problem.
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