The sum of three consecutive odd integers is 195, what are the integers ?

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Answer 1 · 2016-02-26T04:27:17

$63,65,67$

Say that there is some odd integer $x$ . We don't know the value of it yet, we just know that $x$ is some odd integer.

The next consecutive odd integer would be $2$ away, or $x+2$ . The next would be $2$ after that, or $x+4$ .

Thus our three consecutive odd integers are $x,x+2$ and $x+4$ .

Since we know their sum is $195$ , we can say that

$x+(x+2)+(x+4)=195$

Combine like terms and solve for $x$ .

$3x+6=195$

$3x=189$

$x=63$

Hence the other two odd numbers are $x+2=65$ and $x+4=67$ .