Saturday, February 19, 2011

Find Value of E?

   
A+B+C
+
D
+
E+F+G
+
H
+
I


Each alphabet represents digits from 1-9 in the above figure.No two alphabets can have same digit

Also
A+b+C=13
C+D+E=13
E+F+G=13
G+H+I=13

Find the value of E?

1 comment:

  1. Here it says that all the alphabets are from distinguished numbers from 1-9

    Which means A-I represent numbers 1-9 and sum of A+B+C+D+E+F+G+H+I=sum of first 9 natural numbers which is 45

    Also the sum of (A+B+C)+(C+D+E)+(E+F+G)+(G+H+I|)=13+13+13+13=13*4=52

    So if we replace A+B+C+D+E+F+G+I by 45 in the above equation

    we get C+E+G=52-45=7

    C+E+G=7

    Also

    C+D+E=13

    Now C,E,G can be from 1,4,2

    If we check for E=4 we find that we can get all the numbers distinguished from each other for each alphabet.

    Try taking value of E 1,2 and you will get smiler alphabet for 2 or more digits.

    Hence E=4

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