A gang of 17 bandits stole a chest of gold coins. When they tried to divide the coins equally among themselves, there were three left over. In the ensuing fight one bandit was killed but this did not solve the problem of dividing the coins – this time there were 10 left over. They got serious and five more bandits were killed. Still no luck – there were four coins left over. So, now four bandits were killed and, finally, the loot could be divided equally among the survivors. What is the minimum amount of coins they stole? What is the next smallest amount?
A gang of 17 bandits stole a chest of gold coins. When they tried to divide the coins equally among themselves, there were three left over. In the ensuing fight one bandit was killed but this did not solve the problem of dividing the coins – this time there were 10 left over. They got serious and five more bandits were killed. Still no luck – there were four coins left over. So, now four bandits were killed and, finally, the loot could be divided equally among the survivors. What is the minimum amount of coins they stole? What is the next smallest amount?
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 gang of 17 bandits stole a chest of gold coins. When they tried to divide the coins equally among themselves, there were three left over. In the ensuing fight one bandit was killed but this did not solve the problem of dividing the coins – this time there were 10 left over. They got serious and five more bandits were killed. Still no luck – there were four coins left over. So, now four bandits were killed and, finally, the loot could be divided equally among the survivors. What is the minimum amount of coins they stole? What is the next smallest amount?
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