2025 · Q44
If (x + y) : (y + z) : (z + x) = 3 : 5 : 6 and x + y + z = 14, then what is x² + y² + z² equal to ?
Elementary MathematicsNumber System
- A81
- B84
- C87
- D90
Explanation
From x + y = 3t, y + z = 5t, z + x = 6t, solving gives x = 2t, y = t, z = 4t. The largest of the three numbers is z, option (b).