Question

If the sum of three consecutive multiples of `6` is `72`, what is the biggest of these three multiples?

Answer 1

`30` is the biggest multiple.

Explanation:

Let the smallest multiple of `6` be `6x`
The next multiple is `6(x+1)`
The biggest multiple is `6(x+2)`

The sum of these multiples is `72`

`6x +6(x+1)+6(x+2) =72`

`6x+6x+6+6x+12 =72`

`18x +18 = 72`

`18x = 72-18 = 54`

`x=3`

The three multiples are `6xx3," "6xx4" " and 6xx5`

`6xx5 =30` is the biggest

Check:

`18+24+30 = 72`