# If the sum of two consecutive even integers is 114. How do you find the integers?

May 3, 2016

56 and 58

#### Explanation:

Let the first even number be $n$

The next number is $n + 1$ which is odd

So the second even number is $n + 2$

Then we have:

$n + n + 2 = 114$

$\implies 2 n + 2 = 114$

Subtract 2 from both sides

$2 n = 112$

Divide both sides by 2

$n = 56 \text{ }$ First number

So the second number is $56 + 2 = 58$
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Check

$56 + 58 = 114$