In the above figure nine distinct non zero single digits are put in the place of A , B , ....... ,I in some order such that the sum of the three in any row or column is 13. Then the sum of the number of the three squares of C , E ,G is
Details - Question appeared in Ramanujan Ganit Spardha 2014 Std XI and XII (Only Gujarat region)
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This exam motive is to just know how differently you can approach a basic question(and if we have a different and short method we are rewarded extra marks). So please write your method if you got your answer right.
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A+B+C=13........... (1)
C+D+E=13........... (2)
E+F+G=13............ (3)
G+H+I=13............ (4)
A+B+C+D+E+F+G+H+I= ∑ n = 1 9 n = 2 9 × 1 0 =45....... (5)
(1)+(2)+(3)+(4)-(5),
C+G+E= 7