Question

The $3$ consecutive odd numbers whose sum is $297$ are

• A. $97,99$ and $100$
• B. $97,99$ and $101$
• C. $97,98$ and $101$
• D. $96,99$ and $101$

Answer 1

The correct option is B $97,99$ and $101$

Let the $3$ consecutive odd numbers be $n,n+2$ and $n+4.$
$n+n+2+n+4=297$
$3n+6=297$
$3n=297-6$
$3n=291$
$n=97$
The three consecutive numbers be $97,99$ and $101.$