Question

Three consecutive integers add up to 240. Which integers are they?

Answer 1

Let the integers be x, x+1 and x+2. Then, we can write

$\begin{gathered} x+x+1+x+2=240 \\ 3x+3=240 \\ 3x=237 \\ x=79 \\ So, \\ x+1=79+1=80 \\ x+2=79+2=81 \end{gathered}$

Therefore, the consequtive integers are 79, 80 and 81.