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When a carton of apples were packed into bags of 4, there would be 3 apples left over. When the same number of apples were packed into bags of 6, there would still be 3 apples left over. What could be the least number of apples in the carton?

 Sep 19, 2021
 #1
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N mod 4 ==3,

N mod 6==3, solve for n

 

LCM[4, 6] ==12

 

N==12C + 3, where C==0, 1, 2, 3.........etc.

When C==1,  N==12 + 3 ==15 -Least number of apples in the carton.

 Sep 20, 2021
 #2
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Let no of apples in carton = x

When Packed in days of 4. then remaining

apples 3.

-------------------------------------------------------------------------------------------

When Packed in days of 6 then Remaining

apples = 3.

for finding least number we will find the

LCM of two numbers . (4,6)

       4 = 2 * 2 * 1

       6 = 2 * 3 * 1 
   LCM= 2 * 2 * 3 * 1 = 12

   (4,6)

Now remainder is always 3. So add 3.

in LCM. (12 + 3) = 15.

[ Total apples  =  15 apples. in carton. ]

 Sep 21, 2021

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