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Let  be a positive number such that when  is divided by , the remainder is  Compute the sum of all possible two-digit values of .

 
 Jan 22, 2023
 #1
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The possible values of d are 14, 28, and 66, so the answer is 14 + 28 + 66 = 108.

 
 Jan 22, 2023
 #2
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a=10; c=109 % a; if(c==4, goto3, goto4);printa; a++;if(a<100, goto1, 0)

 

15,  21,  35 

 

109 mod 15 ==4 - Remainder

109 mod 21 ==4 - Remainder

109 mod 35 ==4 - Remainder

 

Two-digit moduli ==15  +  21  +  35  ==71

 
 Jan 22, 2023

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