Question

Find three consecutive even numbers whose sum is $246$.

Answer 1

Given that sum of three consecutive even numbers is $246$.

Let three consecutive even numbers are $x,x+2$ and $x+4$.

Now,

$x+(x+2)+(x+4)=246$

$⟹3x+6=246$

$⟹3x=246-6=240$

$⟹x=\frac{240}{3}$

$⟹x=80$

Hence, three consecutive even number are,

$x=80$

$x+2=80+2=82$

$x+4=80+4=84$

Therefore, the three consecutive even numbers are $80,82$ and $84$.