Question

Sum of the squares of the two consecutive positive integers is 365. The sum of the numbers is ______.

Options

• 27

• 31

• 25

• 29

Answer 1

Sum of the squares of the two consecutive positive integers is 365. The sum of the numbers is 27. 

Explanation:

The consecutive integers are 13 and 14 and 13² + 14² = 169 + 196 = 365. Their sum is 27; the other choices are not the sum of these integers.