Which integers are such that if the units digit is chopped off, the original number is a multiple of the new one?

Any number of the format xc, where x is of indetermined length, c is 0 to 9 and c/x = integer, will work.

i.e.  10, 11, 12, 13, 14, 15, 16, 17, 18, 19

20, 22, 24, 26, 28,

30, 33, 36, 39

40, 44, 48, 50, 55, 60, 66, 70, 77, 80, 88, 90, 99, 100, 110 , 120 and every number evenly divisible by 10.

Posted by Leming on 2007-03-27 10:17:55