Question

the product of two successive number is 1980 which one is smaller

Answer 1

let the numbers be n, (n+1)
according to question 
n+(n+1)=1980

n²+n-180=0
solve and find n.

Answer 2

The answer is given below :

Let us consider that the numbers are n and n+1, where n belongs to Z.

Then, the product is

= n(n+1)

Given that,

n(n+1) = 1980

=> n² + n - 1980 = 0

=> n² + 45n - 44n - 1980 = 0

=> n(n+45) - 44(n+45) = 0

=> (n+45)(n-44) = 0

So, n = -45 and n = 44

Hence, the numbers are :

-45, -44 or, 44, 45.

The smaller number may be

-45 or, 44.

Thank you for your question.