Question

The product of two successive numbers is 1980. Which is the smaller number? A) 34 b) 44 c) 35 d) 45

Answer 1

a)is the answer that is benificial

Answer 2

Let the two successive numbers be x and x + 1

Their product = 1980

To find the numbers, we will multiply x by x + 1

According to the question,

x(x + 1) = 1980

x² + x - 1980 = 0

x² + 45 - 44 - 1980 = 0

x(x + 45) - 44(x + 45) = 0

(x - 44) (x + 45) = 0

x = 44 or x = -45

Any successive number can't be negative.

So, x = 44 or x = 45



$\therefore{}$ The smallest successive number => x

=> $\boxed{44}$


$\therefore{}$ The biggest successive number => x + 1

=> 44 + 1

=> $\boxed{45}$