Question

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

Answer 1

Sum of $3$ consecutive multiples of $7$ is $777$

Let the consecutive multiple of $7$ be

$7n,(7n+7),(7n+14)$

$\Rightarrow 7n+(7n+7)+(7n+14)=777$

$\Rightarrow 21n+21=777$

$\Rightarrow 21n=756\Rightarrow n=36$

So No in $252,259,266$