Question : The average age of four boys A, B, C, and D is 5 years and the average age of A, B, D, and E is 6 years. C is 8 years old. The age of E is (in years).
Option 1: 12
Option 2: 13
Option 3: 14
Option 4: 15
Correct Answer: 12
Solution :
According to the question,
⇒
⇒
If
∴
⇒
Put the value of equation (iii) in equation (ii)
⇒
∴
Hence, the correct answer is 12.