Question:
Find three consecutive even numbers whose sum is 234.
Solution:
Let the first even number be $x$.
Let the second even number be $x+2$.
Let the third even number be $x+4$.
$\therefore x+x+2+x+4=234$
$\Rightarrow x+x+2+x+4=234$
$\Rightarrow 3 x+6=234$
$\Rightarrow 3 x=234-6$
$\Rightarrow 3 x=228$
$\Rightarrow x=\frac{228}{3}=76$
$\therefore F$ irst even number $=x=76$
$S$ econd even number $=x+2=76+2=78$
$T$ hird even number $=x+4=80$