Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?

Correct Answer: 81.5
According to question,(i) (83x + 76y)/( x + y )​=79⇒ x = 43y​(ii) (76y + 85z)/(y + z)​ = 81z = 45y​Average of all 3 = (83x + 76y + 85z​)/(x + y + z)​=81.5