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What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 1 when divided by 7, and a remainder of 2 when divided by 5?

 Nov 22, 2020
 #1
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140n  +  57, where n=0, 1, 2, 3......etc.

 

The smallest whole number = 57

 Nov 22, 2020
 #2
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A=4k+1

A=7m+1

A=5t+2

 

7 is the biggest one so I just looked at the 7 ones and see if they worked for the others.

 

8,15,22,29,36,43,50,57  Yep, 57 works for the others as well,  so that is the smallest one

 Nov 30, 2020

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