Question

If the sum of four consecutive odd integers is $400$, what is the value of the first odd integer?

• A. $95$
• B. $96$
• C. $97$
• D. $98$

Answer 1

The correct option is C $97$

Let the four consecutive odd numbers be $x,x+2,x+4$ and $x+6$.
Therefore, $x+x+2+x+4+x+6=400$
$4x+12=400$
$4x=400-12$
$4x=388$ (Divide both sides by $4$)
$x=97$
The first number be $x$
So, the first number is $97$.