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The average age of a class of 5 boys increases by 20% if the age of the teacher is taken into consideration. What percentage of teacher’s age is the average age of the boys?

The average age of a class of 5 boys increases by 20% if the age of the teacher is taken into consideration. What percentage of teacher’s age is the average age of the boys? Correct Answer 45.45%

Let the average age of the class be 100. The average age of the class after the teacher’s age is added = 100 + 20% of 100 = 100 + 20 = 120 The total age of the 5 boys = 100 * 5 = 500 The total age of the 5 boys including the age of the teacher = 120 * 6 = 720 The age of the teacher = 720 – 500 = 220 The percentage of age of teacher equivalent to average age of the boys: Let the percentage be x. X% of 220 = 100 X = 100 / 220 * 100 = 10,000 / 220 = 45.45%

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