Question

Find three consecutive even numbers whose sum is $234.$

Answer 1

Let the first even number be $x.$

Let the second even number be $x+2.$

Let the third even number be $x+4.$

According to the question, we have

$\therefore x+(x+2)+(x+4)=234$

$\Rightarrow x+x+2+x+4=234$

$\Rightarrow 3x+6=234$

$\Rightarrow 3x=234-6$

$\Rightarrow 3x=228$

$\Rightarrow x=\frac{228}{3}=76$

$\therefore$ First even number $=x=76$

Second even number $=x+2=76+2=78$

Third even number $=x+4=80$

Hence, the three consecutive even numbers are $76,78,$ and $80.$