Question

The sum of 3 consecutive odd integers is 36. Whal consecutive odd integers

Answer 1

$\huge\pink{Answer}$

Any odd number can be represented with 2n+1 where n is a whole number. Also, since the next consecutive number will be even (2n+1+1), then the next consecutive odd number must be 2n+1+2, or 2n+3. Since consecutive odd numbers are separated by 2, then the previous odd number should be 2n-1. So:

2n-1+2n+1+2n+3=36

6n+3=36

6n+3-3=36-3

6n/3=33/3

2n=11

Now in order to find three odd consecutive numbers that will sum to 36, you must be able to divide 11 evenly by 2, and have a whole number as a result. This is impossible, so there aren't any 3 odd numbers that will sum to 36.

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