Question

Let \( x \) and \( y \) be two natural numbers such that \( x \cdot y = 12(x + y) \) and \( x \leq y \). Then the total number of pairs \( (x, y) \) is:

• A. 8
• B. 6
• C. 4
• D. 16

Hint:

Solve the given equation for possible integer pairs to find the total number of pairs.

Answer 1

The Correct Option is B

Step 1: Solve the equation.
Given \( x \cdot y = 12(x + y) \), we solve the equation and find that the possible pairs \( (x, y) \) are 6.
Thus, the correct answer is (2).