Question

Find 3 consecutive odd numbers where the product of the smaller two numbers is 46 less than the square of the largest number.

Answer 1

How far apart are two consecutive odd numbers? In other words, what is the difference between two consecutive odd numbers?

Answer 2

let the odd numbers be

x, x + 2, x + 4

then you are told that

x(x + 2) = (x + 4)^2 - 46

now solve for x