If the sum of three consecutive integers is $9$ $9$ , what are the integers?

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Answer 1 · 2016-10-26T16:51:58

Consecutive integers are $2$ $2$ , $3$ $3$ and $4$ $4$

Let the consecutive integers be $x$ $x$ , $x + 1$ $x+1$ and $x + 2$ $x+2$ .

As their sum is $9$ $9$ , we have

$x + x + 1 + x + 2 = 9$ $x+x+1+x+2=9$

or $3 x + 3 = 9$ $3x+3=9$

or $3 x = 9 - 3 = 6$ $3x=9-3=6$

Hence, $x = 6 \times \frac{1}{3} = 2$ $x=6×1/3=2$

and consecutive integers are $2$ $2$ , $3$ $3$ and $4$ $4$ .

If the sum of three consecutive integers is 999, what are the integers?