Question

The sum of three consecutive odd integers is 27, what are the numbers?

Answer 1

`7,9 and 11`

Explanation:

Let the smallest odd integer of the three be `x`.

Hence the next 2 consecutive odd integers are `x+2 and x+4`.

Since the sum of the three integers is `27`, we may write

`x+(x+2)+(x+4)=27`.

Now solving for `x` we get

`3x+6=27`

`therefore x=21/3=7`.

Thus the required integers are `7, 9 and 11`.