The sum of the squares of two numbers is 97 and the squares of their difference is 25. The product of the two numbers is:

by

A. 36
B. 65
C. 50
D. 55

🧠 Explanation (Math):

Given: a² + b² = 97, (a − b)² = 25; find ab
Step 1: (a − b)² = a² + b² − 2ab = 25
Step 2: 97 − 2ab = 25 ⇒ 2ab = 72 ⇒ ab = 36
Final Answer: 36