The average age of Arif, Tania, Joya, and Rafi is 22 years. The average age of Arif, Tania, and Joya is 20 years and the average age of Tania, Joya, and Rafi is 24 years. Find the average age of Tania and Joya.

Question: The average age of Arif, Tania, Joya, and Rafi is 22 years. The average age of Arif, Tania, and Joya is 20 years and the average age of Tania, Joya, and Rafi is 24 years. Find the average age of Tania and Joya.

Solution:
Given,
Arif + Tania + Joya + Rafi = 22 × 4 = 88 years ……(1)
Arif + Tania + Joya = 20 × 3 = 60 years ……(2)
Tania + Joya + Rafi = 24 × 3 = 72 years ……(3)

From (1) - (2)⇒
Rafi’s age = 88 − 60 = 28 years

From (3)⇒
Tania + Joya = 72 - 28 = 44 years

∴ Average age of Tania and Joya = 44/2 = 22 years