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Title: Fruit Addition Post by kiki lee on Jun 25th, 2003, 9:53am This is a interview question from MS p e a r a p p l e l e m o n + b a n a n a ------------- = o r a n g e Each letter represents a different number from 0-9, p,a,l,b,o will not be zero. What is the number for each letter Thread title modified by James 2003-09-17 |
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Title: Re: MS question1 Post by Moonz on Jul 28th, 2003, 11:44am Solved by brute force : [hide] A=8 B=1 E=7 G=6 L=4 M=5 N=0 O=3 P=9 R=2 [/hide] |
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Title: Re: MS question1 Post by somu on Aug 12th, 2003, 6:37am Would u like to tell me how did u solve that ? Hope that was't come out of trial & error method ..... |
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Title: Re: MS question1 Post by towr on Aug 12th, 2003, 7:31am as he said, brute force. brute force = (use a computer to) try every possible answer, and take the (first) one(s) that actually solves the problem |
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Title: Re: MS question1 Post by Armtusk J on Sep 17th, 2003, 10:19am The above problem cannot be solved if the letters are all positive numbers (0-9) and 'a' is not 0. Since the last letter of the total is 'e' (orange) and it is the sum of 'e' + 'n' + 'a' and since 'a' > 0, then 'e' must also be > 0 which is impossible unless 'n' < 0, which then disagrees with the given requirements. |
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Title: Re: MS question1 Post by James Fingas on Sep 17th, 2003, 10:32am In the solution, you are allowed to "carry". That means that 'a' + 'e' + 'n' must be 10 or 20. |
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Title: Re: MS question1 Post by Sir Col on Sep 26th, 2003, 5:39pm To confirm Moonz's result, there is one solution: pear+apple+lemon+banana=orange 9782+89947+47530+180808=328067 OR pear 9782 apple 89947 lemon 47530 banana 180808 ______ ______ orange 328067 |
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