Question

The product of two successive natural numbers is $1980$. Which is the smaller number?

• A. $34$
• B. $35$
• C. $44$
• D. $45$

Answer 1

Answer: (C)

$44$

Let the smaller number be $x$.
Hence larger number be $x+1$
Hence
$x(x+1)=1980$
$x(x+1)=44\left(45\right)$
$x(x+1)=44(44+1)$
Hence
$x=44$ is the lower number.
Hence the consecutive numbers are $44$ and $45$.