Question

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

Answer 1

Take the three consecutive multiples of $7$ as $x,x+7,x+14$

Given that

$x+(x+7)+(x+14)=777$

$\Rightarrow 3x+21=777$

$\Rightarrow 3x=777-21$

$\Rightarrow 3x=756$

$\Rightarrow x=\frac{756}{3}$

$\Rightarrow x=252$

Therefore $\Rightarrow x+7=252+7=259$

$\Rightarrow x+14=252+14=266$

Hence the multiples of $7$ are $252,259,266$