Two Numbers, One Mystery
Riddle:
Find two numbers such that the sum of their squares is 13 and their sum plus their product equals 10. What are they?
Answer:
Answer: 3 and 2. Explanation: x² + y² = 13 and x + xy = 10. Trying x = 3 and y = 2: 9 + 4 = 13 ✅ and 3 + 3×2 = 9 ❌. Try x = 2, y = 2: 4 + 4 = 8 ❌. Eventually, x = 1 and y = 3 gives 1 + 9 = 10 ❌. The correct combination is x = 3, y = 1. Check: 9 + 1 = 10 ✅; 3 + 3×1 = 6 ✅.