Question

The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers

Answer 1

The numbers will be "11 and 12".

i believe

Explanation:

x(x + 1) > x + x + 1 + 109 where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2 - x - 110 > 0

(x - 11)(x + 10) > 0 The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12