A man made the following statements:

My son is five times as old as my daughter,
and my wife is five times as old as the son,
and I am twice as old as my wife,
whereas grandmother, who is as old as all of us put together,
is celebrating her eighty-first birthday today.

How old is the son?
You must show your algebra.

Solution to the Problem:

The son is five years old.

Let x = daughter's age
Then 5x = son's age
Then 25x = wife's age
Then 50x = man's age

So x + 5x + 25x + 50x = 81
81x = 81
so, x =1 and 5x = 5.


Correctly solved by:

1. Ivy Joseph Pune, Maharashtra, India
2. James Alarie Flint, Michigan
3. Brijesh Dave Mumbai City, Maharashtra, India
4. Rob Miles Northbrook, Illinois
5. Garima Mandwani Pune, Maharashtra, India
6. Olivia Hitz Dallas, Texas
7. Aiden Tabrizi San Diego, California