# The sum of two consecutive odd integers is 96, how do you find the two integers?

##### 1 Answer
Feb 6, 2016

The required two integers are $47 \mathmr{and} 49$.

#### Explanation:

Let the smaller of the two odd integers be $x$.

Then the next odd integer is $x + 2$.

Since the sum of these 2 integers is 96, we may write

$x + \left(x + 2\right) = 96$

Now solving for $x$ we obtain

$2 x = 94$

$\therefore x = 47$.

Hence the required two integers are $47 \mathmr{and} 49$.