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Amanda [17]
3 years ago
11

The sum of three consecutive integers is 42 . Let x be the middle of the three integers.transcribe the statement accordingly

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

The 1st integer is:x=13

The 2nd integer is:x+1=13+1=14

The 3rd integer is: x+2=13+2=15

-

Check, does 13+14+15=42?

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For a=|b|, we have two cases:

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\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}

Solving, we have:

\begin{cases}18=15-3x, -3x=3, x=\boxed{-1},\\18=-(15-3x), 18=-15+3x, 33=3x, x=\boxed{11}\end{cases}.

Therefore,

\implies \boxed{x=-1\text{ or }x=11}

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