Question

The sum of three consecutive odd integers is 177, what are the integers?

Answer 1

`{57. 59, 61}`

Explanation:

Let the three consecutive odd integers be
`color(white)("XXXX")` `2x-1, 2x+1, and 2x+3`

We are told
`color(white)("XXXX")` `(2x-1)+(2x+1)+(2x+3) = 177`
which implies
`color(white)("XXXX")` `6x+3 = 177`

`color(white)("XXXX")` `rarr 6x = 174`

`color(white)("XXXX")` `rarr x = 29`

So the numbers are
`color(white)("XXXX")` `{2(29)-1, 2(29)+1, 2(29)+3}`

`color(white)("XXXX")` `={57, 59, 61}`