The sum of two consecutive integers is 11. Find both integers.
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Consecutive integers means two numbers that are in line.
example:
$\displaystyle {1,2}$
$\displaystyle {2,3}$
$\displaystyle {13,14}$
So find two consecutive integers that when added together, equal 11.
Let the first number be $\displaystyle x$, then the next integer would be $\displaystyle x+1$
so
$\displaystyle x+(x+1)=11$
$\displaystyle 2x+1=11$
$\displaystyle 2x=10$
$\displaystyle x=\frac{10}{2}$
$\displaystyle x=5$
so the numbers are
$\displaystyle {5,6}$