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The average age of 10 teachers in a school was 48 years. A teacher aged 56 years died and another teacher resigned, and a new teacher of age 32 joined the school. If the average age of the teachers in the school now becomes 45 years. What is the age of the teacher who resigned? 

The average age of 10 teachers in a school was 48 years. A teacher aged 56 years died and another teacher resigned, and a new teacher of age 32 joined the school. If the average age of the teachers in the school now becomes 45 years. What is the age of the teacher who resigned?  Correct Answer 51 years

Given:

The average age of 10 teachers = 48 years

Age of teacher who died = 56 years

Age of new teacher = 32 years 

New average = 45 years

Formula used:

Average = sum of observations/total number of observations

Calculation:

Let the age of the teacher who resigned be x years

Total age of 10 teachers = 480 years

A.T.Q

480 - 56 - x + 32 = 45 × 9

⇒ 456 - x = 405

⇒ x = 51 years

∴ The age is 51 years.

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