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

Feb 4, 2016

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,

$\rightarrow x + \left(x + 2\right) + \left(x + 4\right) = 183$

$\rightarrow x + x + 2 + x + 4 = 183$

$\rightarrow 3 x + 6 = 183$

$\rightarrow 3 x = 183 - 6$

$\rightarrow 3 x = 177$

$\rightarrow x = \frac{177}{3} = 59$

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

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

So,the numbers are $59 , 61 \mathmr{and} 63$