Find three consecutive even numbers whose sum is 234.

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 $=x+4=80$

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