Question

The average age of 4 children is 15 years. If the ages of their parents are added, the average age is 25. What is the age of the father if he is 4 years older than his wife?

Answer 1

47 years old.

Explanation:

Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:

`4c=15*4=60\ years\\f=m+4\\(4c+m+f)/(6)=25`

Replace the first two equations into the last to solve for 'f':

`(60+(f-4)+f)/(6)=25 \\2f=(25*6)-60+4\\f=47\ years`

The father is 47 years old.