A B C
D
E F G
H
I
Each of the digits from 1 to 9 is represented by a different
letter above. Also, A + B + C = C + D
+ E = E + F + G = G + H + I = 13
Which digit does E represent?
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Answer Posted / mark sidney
Firstly, sum all the digits together:
A+B+C+...+H+I = 45; (1)
then all the four equations given:
(A+B+C)+(C+D+E)+(E+F+G)+(G+H+I) = 52 (2)
and we get (2)-(1):
C+E+G = 7;
Since every letter represents a different digit, we can
infer that {C,E,G} = {1,2,4}
So the question comes to us which digit in {1,2,4} does E
represents?
let's take a try
E\CG 1 2 4
1 3(10) 5(8) there is no 10
2 3(10) 6(7) same reason
4 5(8) 6(7)
Therefore, E=4
| Is This Answer Correct ? | 11 Yes | 0 No |
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