Question 1207736: An eccentric baseball card collector wants to distribute her collection among her descendants. If she divided her cards among her 10 great-great-grandchildren, there would be 6 cards left over. If she divided her cards among her 7 great-grandchildren, there would be 5 cards left over. If she divided her cards among her 3 grandchildren, there would be 2 cards left over. If she divided her cards among her 2 children, there would be 0 cards left over.
What is the smallest possible number of cards in her collection?
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
(1) If she divided her cards among her 10 great-great-grandchildren, there would be 6 cards left over.
The number of cards can be 6, 16, 26, 36, 46, ...
(2) If she divided her cards among her 7 great-grandchildren, there would be 5 cards left over.
The number of cards can be 26, 96, 166, 236, ...
(3) If she divided her cards among her 3 grandchildren, there would be 2 cards left over.
The number of cards can be 26, 236, 446, ...
(4) If she divided her cards among her 3 grandchildren, there would be 2 cards left over.
This is already taken care of by (1).
ANSWER: 26
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