# If the sum of two consecutive integers is 51, what are the numbers?

Feb 1, 2016

The two consecutive integers are 25 and 26.

#### Explanation:

Divide $51$ by $2$.

$\frac{51}{2} = 25.5$

Decrease 25.5 to 25, and increase 25.5 to 26.

$25 + 26 = 51$

Feb 1, 2016

Let the first number be $x$

Then,the second number is $x + 1$

So,
$x + \left(x + 1\right) = 51$

Remove brackets:

$\rightarrow x + x + 1 = 51$

$\rightarrow 2 x + 1 = 51$

$\rightarrow 2 x = 51 - 1$

$\rightarrow 2 x = 50$

$\rightarrow x = \frac{50}{2} = 25$

Then the second number is $x + 1 = 25 + 1 = 26$

So,the two consecutive integers are $25 \mathmr{and} 26$