The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded, the average age decreases by 1 year. The age of the teacher is :

A. 38 years

B. 39 years

C. 40 years

D. 41 years

Show Answer

Answer-B
Solution-

Solution(By Apex Team)

The total age of 24 boys and teacher is $\begin{array}{l}\text{= 25 × 15}\\ \text{= 375 years}\end{array}$ Let the teacher’s age = x years According to the question, $\begin{array}{l}\text{25 × 15 = 24 × 14 + x}\\ \text{375 = 336 + x}\\ \text{x = 39 years}\end{array}$

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