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I have worked this problem out many times and always end up with the answer of 7 sons and 49 bezants, but that is incorrect. Here is the question:
A man left to his oldest son one bezant a seventh of what was left; then, from the remainder, to his next son he left two bezants and a seventh of what was left; then from the remainder, to his third son he left three bezants and a seventh of what was left. He continued in this way, giving each son one bezant more than the previous son and a seventh of what remained. By this division it developed that the last son received all that was left and all the sons shared equally. How many sons were there and how large was the man's estate?
If you could help me to figure this out it would be very much appreciated. : ) thank you!
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