Question

The sum of three consecutive even numbers is $198$. Which of the following will be the smallest number among them?

• A. $66$
• B. $64$
• C. $68$
• D. $70$

Answer 1

The correct option is B $64$

Let the three consecutive even numbers be $2n,2n+2,2n+4$
Then $2n+2n+2+2n+4=6n+6=198$
$\Rightarrow$ $6n=192$

$\Rightarrow$ $n=$ $\frac{192}{6}=32$
$\therefore$ the required smallest number $=$ $2$ $\times$ $32=64$