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JEE Main 2017 · 8 Apr · Shift 1, Mathematics question 85

The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If now the mean age of the teachers in this school is 39 years, then the age (in years) of the newly appointed teacher is :

Choose one option
Answer and worked solution

Official answer: C

25×40−60+x=25×3925\times40-60+x=25\times39, so x=35x=35.