Problem Five: License Plate
Nov 1st, 2006 by Allen
The last three digits of Allison’s license plate have a product of 360. The sum of the digits is 22 and the digits are in order from the least to greatest. What are the three digits of her license plate?
just set up the equations
abc=360
a+b+c=22
the factor 360=32 x 23 x 5
do a little bit of guess and test, and you have
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abc=360
a+b+c=22
the no are in increasing order ,so the number are 5,8,9 whose sum is 22 and product is 360