Saturday, 28 May 2016

mathematics - Number Theory class


A magician said to an audience member:





  • Pick a number,

  • Double it,

  • Add $7$,

  • Multiply it by $5$,

  • Subtract the number you started with,

  • Remove any non-zero digit from the answer,


and then tell me the remaining digits in any order.



The audience member said




$6$ and $8$.



And the magician announced,



The digit you removed was $3$, right?



The magician is right! Why? Justify!




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