Question

The sum of the first two and the greatest of 4 consecutive odd integers is 29. What are the integers?

Answer 1

The four consecutive odd numbers are
`7,9,11,13`

Explanation:

Let the four consecutive odd integers be
`x,x+2,x+4,x+6`

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

`x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7`

Therefore,

`x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13`

The four consecutive odd numbers are
`7,9,11,13`