Question

Two consecutive odd integers add up to 76. What are the numbers?

Answer 1

`76=color(green)(37+39)`

Explanation:

If the first odd integer is `color(red)(n)`
then the second odd integer will be `color(blue)(n+2)`
and there sum will be
`color(white)("XXX")color(red)(n) + color(blue)(n+2)=76`

`color(white)("XXX")rarr 2n+2=76`

`color(white)("XXX")rarr 2n=74`

`color(white)("XXX")rarr n=37`

So the two numbers are `color(red)(n=37)` and `color(blue)(n+2=39)`