Question

A man had 5 children.When their avrage age was 10 years,the child who was 5 yeats of age died.What will be average age of surviving 4 years after death of the child?

Answer 1

40yrs as the average is given 10 then of 4 children it is 40

Answer 2

Answer: Average age of surviving 4 years after the death of 5 years old child is 11.25 years (approximately 11 years).

Step-by-step explanation:

Given that:

Number of children is 5.

Average age of the children is 10 years; average age=10 years.

One child of 5 years of age died.

We have to find the average age of the four children surviving.

Finding the average of 4 surviving children:

We know that;

• $avg=\frac{sum}{no.of elements}$

Sum of ages of 5 children is average age * no. of children.

• $sum=10*5=50 years$

Child of 5 years age died.

• $sum1=50-5=45years$

Number of children after the death of 5 years old child =4

new average, $avg1=\frac{45}{4} =11.25$   (approximately 11)

Hence, the new average is 11.25 years.