Question

If a number is multiplied by $22$ and the same number is added to it, then we get a number that is half the square of that number. Find the number.

• A. $45$
• B. $46$
• C. $47$
• D. Data Insufficient

Answer 1

Answer: (B)

$46$

Let number be $x$
According to question,
$22x+x=\frac{x^2}{2}$
$\Rightarrow 44x+2x=x^2$
$\Rightarrow x^2-46x=0$
$\Rightarrow x(x-46)=0$
$x=0,46$
Thus, the required number is $46$ or $0$.
Hence option 'B' is correct choice.