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There are two integers between 1 and 100 such that for each:

if you divide by 4, the remainder is 3;

if you divide by 3, the remainder is 1;

if you divide by 5, the remainder is 1.

What is the sum of those two integers?

 Sep 3, 2016
 #1
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The two integers are: 31 and 91.

31 + 91 =122

 Sep 3, 2016
 #2
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If you divide by 5, the remainder is 1

If you divide by 4, the remainder is 3

If you divide by 3, the remainder is 1

 

The second condition means that our integers are odd

 

And,by the first condition, the possibilites are

 

11, 21, 31, 41, 51, 61, 71, 81, 91

 

And by the third condition, 31 and 91 are the two integers

 

And the sum of these =  122

 

 

 

cool cool cool

 Sep 3, 2016

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