The average wage of a class of 21 boys is 14year 3month.if the oldest boy is not counted in,the average drop to 14years 2months.how olds is he in the class ????
To find the age of the oldest boy in the class, we can use the given information about the average wages.
Let's break down the average wages given:
The average wage of the class of 21 boys is 14 years 3 months.
This means that the sum of the ages of all the boys in the class is (21 * 14) years + 3 months.
Now, let's consider the second scenario:
When the oldest boy is not counted in, the average drops to 14 years 2 months.
Now, the number of boys is 20 because we are excluding the oldest boy.
The sum of the ages of these 20 boys is (20 * 14) years + 2 months.
To find the age of the oldest boy, we need to subtract the sum of the ages of the 20 boys from the sum of the ages of all boys in the class.
So, the age of the oldest boy = [(21 * 14) years + 3 months] - [(20 * 14) years + 2 months].
Now, let's calculate this:
[(21 * 14) years + 3 months] - [(20 * 14) years + 2 months]
= (294 years + 3 months) - (280 years + 2 months)
= 14 years + 1 month
Therefore, the oldest boy in the class is 14 years 1 month old.