Find three consecutive even numbers whose sum is 234. - Vidyadip

Question

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

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Answer

Let the first even number be $x.$
Let the second even number be $x+2.$
Let the third even number be $x+4.$
$\therefore\text{x}+\text{x}+2+\text{x}+4=234$
$\Rightarrow\text{x}+\text{x}+2+\text{x}+4=234$
$\Rightarrow3\text{x}+6=234$
$\Rightarrow3\text{x}=234-6$
$\Rightarrow3\text{x}=228$
$\Rightarrow\text{x}=\frac{228}{3}=76$
$\therefore$ First even number $=\text{x}=76$
Second even number $=\text{x}+2=76+2=78$
Third even number $=\text{x}+4=80$

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