The sum of four consecutive integers

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 .

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