Question

How do you find three consecutive odd integers such that the sum of the first and second is 27 less than three times the third?

Answer 1

Another method

The numbers are `17, 19, 21`

Explanation:

Let the first odd number be `n`

Breaking the question down into its key parts

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Three consecutive odd number`->n" ; "n+2" ; "n+4`

Sum of first and second numbers:`->n+n+2`

Is:`->n+n+2=`

27 less:`->n+n+2=?-27`

than three times the third:`->n+n+2=3(n+4)-27`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`=>2n+2=3n+12-27`

`=>2n+2=3n-15`

`=>3n-2n=2+15`

`=>n=17`

The numbers are `17, 19, 21`