Question

In a class there are $x$ seats. If each student occupies one seat, $9$ students remain standing and if two students occupy one seat, $7$ seats are left empty. Find the number of seats in the class.

• A. $21$
• B. $23$
• C. $25$
• D. $27$

Answer 1

The correct option is B $23$

The the number of seats $=x$.

The number of students when they occupy one/seat $=x+9$

Number of students when they occupy $2$ per bench

$=2x-14$

$\Rightarrow x+9=2x-14$

$\Rightarrow x=23$

Number of seats $=23$.