Question

The sum of three consecutive multiples of $7$ is $777$. Find these multiples.

Answer 1

Let$x-7,x,x+7$ be the three consecutive multiples of $7$.

Given that the sum of three consecutive multiples of $7$ is $777$.

So we can write $x-7+x+x+7=777$

$\begin{array}{rcl}3x& =& 777\\ x& =& \frac{777}{3}\\ x& =& 259\end{array}$

So,

$$\begin{gathered} x-7=259–7 \\ x-7=252 \end{gathered}$$

$$\begin{gathered} x+7=259+7 \\ x+7=266 \end{gathered}$$

Hence, the multiples are $252,259,$ and $266$.