# The sum of two consecutive integers is 71. What are the integers?

Apr 29, 2016

The integers are 35 and 36

#### Explanation:

Let $n$ = the 1st integer
Therefore the 2nd integer is $\left(n + 1\right)$

We are told that the sum of these two integers is $71$
Hence: $n + \left(n + 1\right) = 71$

$2 n + 1 = 71$

$n = \frac{71 - 1}{2}$

$n = 35 \to \left(n + 1\right) = 36$