Question

The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.

Answer 1

Let the two consecutive positive odd numbers be x and(x + 2)

According to the given condition,

x² + (x + 2)² = 514

∴ x = 15 (x is a positive odd number)

When x = 15,

x + 2 = 15 + 2 = 17

Hence, the required positive integers are 15 and 17.