2019 · Q82
If 36/11 = 3 + 1/(x + 1/(y + 1/z)), where x, y and z are natural numbers, then what is (x + y + z) equal to?
Elementary MathematicsNumber System
- A6
- B7
- C8
- D9
Explanation
36/11-3 = 3/11, so x+1/(y+1/z) = 11/3 = 3+2/3: x = 3. Then y+1/z = 3/2 = 1+1/2: y = 1, z = 2. Sum = 6.