The sum of the squares of two positive integers is 100 and their difference of their square is 28. The sum of the numbers is:

🧠 Explanation (Math):

Given: a² + b² = 100; a² − b² = 28; find a + b
Step 1: Add equations ⇒ 2a² = 128 ⇒ a² = 64 ⇒ a = 8
Step 2: b² = 100 − 64 = 36 ⇒ b = 6
Step 3: Sum = 8 + 6 = 14
Final Answer: 14