Quandaries
and Queries 

Dear Math Central, THREE DIGIT NUMBER 

Hi Grace, The sum of the digits is one of the numbers 3, 4, ..., 27. These are the 25 possibilities to try: You multiply this sum by 32, and if you get back a threedigit number whose digits add up to the number you started with, then Bingo!, you found it: 4 x 32 = 128, 1+2+8 = 11, not 4 5 x 32 = 160, 1+6+0 = 7, not 5 ... 

