Question

The sum of the squares of two consecutive positive integers is 25. What are the integers?

Answer 1

3 and 4

Explanation:

`3^2 = 9`
`4^2 = 16`
`9+16=25`

I think the best way to approach this problem is guess and check, because 25 is a fairly low number. Because 25 is already the square of 5, you know that both numbers must be less than 5, leaving you with very few numbers to check.