Tuesday, January 8, 2019

Problem 83: Jersey Numbers 2

three footballers illustration ile ilgili görsel sonucu
https://www.bbc.com/news/world-asia-44791998

Three footballers were having a chat after the training. Having a keen interest in numbers, one of them said:

 -“You know if I square your jersey numbers, and then subtract one from the other, the difference will give my jersey number.

Others were impressed with this, and they also decided to find mathematical properties of their jersey numbers. The second player said:

-“The number on my jersey is the difference of your jersey numbers.

It was the turn for the third player. He said: 


-“The numbers on your backs are prime numbers.

Can you find the jersey number of each player?

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