Question

A set of 3 consecutive integers sums to –138. What is the value of the greatest integer?

Answer 1

we can write the situation mathematically like follows:

`n+(n+1)+(n+2)=-138`

where n is the smallest integer and n+2 is the greatest, let's find first the smallest to find the greatest then.

`n+(n+1)+(n+2)=3n+3`

then

`3n+3=-138`
`3n=-141`
`n=-(141)/(3)=-47`

then the smallest integer will be n=-47 and the greatest will be n+2=-47+2=-45 then the final answe is -45.