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There are between 50 and 60 eggs in a basket. When mohammed counts by 3's,there are 2 eggs left over. When he counts by 5's there are 4 left over. How many eggs are there in basket?

 Dec 20, 2021
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N mod 3 == 2

N mod 5 == 4, solve for N

 

LCM{3, 5} ==15 

 

N ==15c  +  14,  where c ==0, 1, 2, 3........etc.

Since the number of eggs is between 50 and 60, then we have:

 

[15 *3  +  14] ==59 eggs

 Dec 20, 2021

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