A band of 17 pirates stole a sack of gold coins. When they tried to divide them into equal portions, there were 3 left over. In a brawl over who would get the extra coins, a pirate was killed. They tried to divide the coins again, but 9 coins were left over. Again, there was a brawl and another pirate was killed. Now, when the coins were divided, there were none left over. What is the least number of coins the pirates stole?
A band of 17 pirates stole a sack of gold coins. When they tried to divide them into equal portions, there were 3 left over. In a brawl over who would get the extra coins, a pirate was killed. They tried to divide the coins again, but 9 coins were left over. Again, there was a brawl and another pirate was killed. Now, when the coins were divided, there were none left over. What is the least number of coins the pirates stole?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A band of 17 pirates stole a sack of gold coins. When they tried to divide them into equal portions, there were 3 left over. In a brawl over who would get the extra coins, a pirate was killed. They tried to divide the coins again, but 9 coins were left over. Again, there was a brawl and another pirate was killed. Now, when the coins were divided, there were none left over. What is the least number of coins the pirates stole?
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