A man asks his father about his age.
Instead of giving a direct answer the father wrote down two positive integer numbers on a piece of paper and says:
- Sum these two numbers and evaluate the square root of the total. Doing this, you´ll get my age.
The son takes his pocket calculator and inadvertently types the two numbers, one after the other, without pressing the "+" button (e.g. if the numbers were 124 and 357, he types 124357, instead of the sum of the numbers).
After this he makes a second mistake by pressing the square root button, not once, but twice.
Finding an integer number as the result he shows it to his father:
- This is your age.
- No, you´re wrong, but the number you found is precisely the age of your mother, who is older than me.
How old is the father?
Note: While a solution is trivial with the aid of a spreadsheet, can you derive it without one?
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