The average of a non-zero number and its square is 11 times the number. The number is ?

The average of a non-zero number and its square is 11 times the number. The number is ?

A 22

B 21

C 11

D 17

Solution

Correct Answer: Option A

Let the number be 'x'.

\(\frac{x+x^2}2\) = 11x

\(x^2\) = 22x
=> x = 22.