Question:
The sum of four consecutive integers is 266. What are the integers?
Solution:
Let the four consecutive integers be $x, x+1, x+2$ and $x+3$. According to the question,
$x+x+1+x+2+x+3=266$ [given]
$\Rightarrow \quad 4 x+6=266$
$\Rightarrow$ $4 x=266-6$
$\Rightarrow$ $4 x=260$
$\Rightarrow$ $x=\frac{260}{4}$
$\therefore$ $x=65$
Hence, the four consecutive integers are $65,65+1,65+2$ and $65+3, i, e, 65,66,67$ and 68 .