# Math Help - Integers

1. ## Integers

The sum of two consecutive integers is 11. Find both integers.

{ ? ? }

2. Consecutive integers means two numbers that are in line.

example:

${1,2}$

${2,3}$

${13,14}$

So find two consecutive integers that when added together, equal 11.

Let the first number be $x$, then the next integer would be $x+1$

so

$x+(x+1)=11$

$2x+1=11$

$2x=10$

$x=\frac{10}{2}$

$x=5$

so the numbers are

${5,6}$