# The sum of two consecutive odd integers is 56, how do you find the two odd integers?

##### 1 Answer

The odd numbers are 29 and 27

#### Explanation:

There are several way to do this. I am opting to use the derivation of odd number method. The thing about this is that is uses what I call a seed value that has to be converted to arrive at the value you want.

If a number is divisible by 2 yielding an integer answer then you have an even number. To convert this to odd just add or subtract 1

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Let any even number be

Then any odd number is

If the first odd number be

Then the second odd number is

Think like this:

Next number is even:

Next number is odd:

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Using the above notation

Let the first odd number be:

Let the second odd number be:

Given that:

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so the first odd number:

second odd number is

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Check: