Question

The sum of the squares of two consecutive odd natural numbers is 74. The greater number is ______.

Options

• 5

• 7

• 9

• none of these

Answer 1

The sum of the squares of two consecutive odd natural numbers is 74. The greater number is 7.

Explanation:

The consecutive odd numbers 5 and 7 have squares summing to 25 + 49 = 74. So the greater number is 7; 5 is the smaller one, while 9 and “none of these” are incorrect.