How many fish were originally caught by Mr X in total?

In summary, Mr X caught approximately 7000 fish from the sea and lined them up in rows of 9, leaving 3 remaining. After throwing those 3 fish back and lining up the remaining fish in rows of 10, 2 fish remained and were also thrown back. Finally, when the remaining fish were lined up in rows of 11, there were no fish left. Using a mathematical solution, it can be determined that there were originally 6825 fish.
  • #1
bhavinsinh
numbers puzzle...

Mr X catches 7000 fish appox from a sea.When he lines up the fish in rows of 9 three remain.
These three fish are thrown.He then lines up the remaining fish in rows of 10.THis time two fish remain and again they are thrown in the sea.Finally he lines up the remaining fish in rows of 11 and no fish remain .How many fish were there in the beginning...I know its a common puzzle but I am not able to come up with a solution.a mathematical solution would be appreciated..
 
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  • #2


Outline of the solution:
The number of fish x = 9n+3 = 110m+5 for natural numbers m, n. Assuming error of 3%, m is between 62 and 65. Hence, there are 6825 fish since 9 divides 110 m + 2 at m = 62.
 
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FAQ: How many fish were originally caught by Mr X in total?

How did Mr X catch the fish?

This question is not directly related to the total number of fish caught, but it is important to understand the method of catching in order to accurately determine the total count. Mr X could have used a fishing net, a fishing pole, or other equipment.

How many types of fish were caught by Mr X?

This question addresses the diversity of fish species caught by Mr X. It is important to know the types of fish caught in order to accurately determine the total count.

Were all the fish caught at the same time?

This question addresses the time frame or duration of Mr X's fishing activity. If the fish were not caught at the same time, the total count may vary depending on the time intervals between catches.

Were any fish released back into the water?

This question addresses the possibility of fish being released back into the water after being caught. If this is the case, the total count may be lower than the original number of fish caught.

Is the total number of fish caught an estimate or an exact count?

This question clarifies the accuracy of the total count. It is important to know if the number is an estimate or an exact count, as it can affect the validity of any scientific analysis or conclusions drawn from the data.

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