Question

The average age of five children is 8 years. If the age of father be included,
the average age becomes 13 years. Find the age of the father.

Answer 1

Step-by-step explanation:

The average age of 5 children is 8 years. If the age of the father be included, the average is

increased by 7 years. Find the age of the father.

Let S = the sum of the children's ages

The average of the 5 children's ages = 8 = S/5 -> S = 40

Let the father's age = f

The average, including the father = 8 + 7 = 15 = (S+f)/6

Since S=40, we have

15 = (40+f)/6

f = 90 - 40 = 50

So the father is 50 years old