If the sum of three consecutive odd integers is 183, what are the integers?

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Answer 1 · 2016-02-04T12:26:44

Remember that consecutive odd numbers differ in $2$ .

Let the first number be $x$

Then,second number is $x+2$ ,The third is $x+4$ .

So,

$rarrx+(x+2)+(x+4)=183$

$rarrx+x+2+x+4=183$

$rarr3x+6=183$

$rarr3x=183-6$

$rarr3x=177$

$rarrx=177/3=59$

The second number is $x+2=59+2=61$

Third number is $x+4=59+4=63$

So,the numbers are $59,61 and 63$