Algebra solving equations

Question

Find find three consecutive integers so that the sum is 60 show your equation and all

Answer 1

Lets name our unknowns:

Smallest number: x

Since we know that the numbers are consecutive the next two are x+1 and x+2

We know that they sum to 60

x+x+1+x+2=60

Combine like terms

3x+3=60

3x=57

x=19

So our smallest number is 19, the next two must be 20 and 21