# The sum of three consecutive odd integers is 27, what are the numbers?

Feb 14, 2016

$7 , 9 \mathmr{and} 11$

#### Explanation:

Let the smallest odd integer of the three be $x$.

Hence the next 2 consecutive odd integers are $x + 2 \mathmr{and} x + 4$.

Since the sum of the three integers is $27$, we may write

$x + \left(x + 2\right) + \left(x + 4\right) = 27$.

Now solving for $x$ we get

$3 x + 6 = 27$

$\therefore x = \frac{21}{3} = 7$.

Thus the required integers are $7 , 9 \mathmr{and} 11$.