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Riddle time(to break the tension)

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Math riddle time! (#breakingtension)

A small number of cards have been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there left (after sombody lost the cards)?

 

A complete pack has 52 cards.

 Aug 19, 2019
edited by tommarvoloriddle  Aug 19, 2019

2+0 Answers

 #1
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x mod 4 = 3,    x mod 3 = 2,     x mod 5 =2, solve for x

 

The smallest x that will satisfy the 3 congruences is:

 

x = 47  and  52  - 47 = 5 cards were lost.

 Aug 19, 2019
 #2
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Yay ur right!

XD

tommarvoloriddle  Aug 24, 2019

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