Find all positive integers X and Y such that:

• X divides Y+5, and:
• Y divides X+3

Prove that there are no others.

OPEN "int div dilemma.txt" FOR OUTPUT AS #2
FOR tot = 2 TO 9999
    FOR x = 1 TO tot - 1
        y = tot - x
        IF (y + 5) MOD x = 0 AND (x + 3) MOD y = 0 THEN
            PRINT x, y
            PRINT #2, x, y
        END IF
    NEXT
NEXT
close

finds only

 x             y
 
 1             1 
 1             2 
 2             1 
 3             1 
 1             4 
 2             5 
 6             1 
 7             2 
 4             7 
 9             4 
 8             11 
 13            8 

Posted by Charlie on 2014-04-10 11:58:58