Question : The average age of 14 teachers is 56 years. After involving a new teacher in that group, the average rises by 2 years. What is the age of the new teacher?
Option 1: 86 years
Option 2: 72 years
Option 3: 84 years
Option 4: 78 years
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Correct Answer: 86 years
Solution :
Given: The average age of 14 teachers is 56 years.
After involving a new teacher in that group, the average rises by 2 years.
Use the formula, $\text{Average}=\frac{\text{Sum of all values}}{\text{The total number of values}}$.
The age of the new teacher = $15\times 58-14\times 56=870-784=86$ years
Hence, the correct answer is 86 years.
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