The product of two consecutive whole numbers is 600 what are the numbers?

Answer : 24 and 25 (24 x 25 = 600)

Let the two numbers be represented by n and n + 1.

n(n + 1) = 600 : n2 + n - 600 = 0

This equation can be factored (n + 25) (n - 24) = 0

As we only require the positive number solution then this occurs when n - 24 = 0, n = 24.

As n = 24 then n + 1 = 25