1. ## Interesting Ancestry

Last week, Alf managed to trace his family tree back as far as 500 AD. In so doing, he noticed a few interesting facts and so he decided to tease his friend with a puzzle. He had discovered that:

Ancestor x was x years old in the year x squared.

His son was y years old in the year y cubed.

Rob was unable to provide a solution for x and y given that information.

Alf then revealed that Ancestor x was Rob's age when y was born.

How old was Ancestor x when his son was born?

Rob, as usual, still could not provide the answer. Can you?

2. ## Re: Interesting Ancestry

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>This is a bit ambigouous. If Rob could still not provide the answer to the original question ("provide a solution for x and y"), the answer to the second question is 60:

x = 31, y = 10 leads to: x was born in 31^2 - 31 = 930, and y in 10^3 - 10 = 990, so x was 60 when y was born.
x = 36, y = 11 leads to: x was born in 36^2 - 36 = 1260, and y in 11^3 - 11 = 1320, so x was also 60 when y was born.
Rob is also 60 years old, so he can't determine x and y.

If Rob could not provide the answer to the second question ("how old was ancestor x when his son was born?"), I don't know the answer either.</font color=yellow></span hi>

3. ## Re: Interesting Ancestry

Spot on, Hans!

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