Question

Five times the smallest of three consecutive odd integers is seven more than twice

the largest. Find all three consecutive odd integers.

Answer 1

5, 7, 9

Explanation:

Using the information given we get:

`5x-7=2z`

`x+2=y\\y+2=z\\x+4=z`

`5x-7=2(x+4)\\5x-7=2x+8\\`

Add 7 to both sides

`5x=2x+15`

Subtract 2x from both sides

`3x=15`

Divide both sides by 3

`x=5`

Using these equations:

`x+2=y\\y+2=z\\x+4=z`

and

`x=5`

We get:

`x=5\\y=7\\z=9`