complete the cells so that the number in each cell is equal in each to equal to
ID: 3112943 • Letter: C
Question
complete the cells so that the number in each cell is equal in each to equal to the sun of the numbers in two cells immediately below it
111
-------------,------------------
22,------------ , 23
-------,----------,-------------,--------------
3, -----------,----------,---------------, 6
Explanation / Answer
Dear student Thank you for using Chegg !! 111 A B 22 C 23 D E F G 3 H I J 6 From the question it is clear A + B = 111 A = 22+C B = 23 + C => 22+ C + 23 + C = 111 2C + 45 = 111 2C = 66 C = 33 => A = 22+C = 55 B = 23+C = 56 D+E = 22 (1) E+F = C = 33 F+G = 23 D = 3 + H => D+E = 3+2H+I = 22 (From (1) E = H + I 2H+I = 19 (2) F = I + J E+F = H+2I+J = 33 (3) G = J + 6 F+G = I + 2J +6 = 23 I+2J = 17 (4) Solving equation (2), (3) & (4) (2)+ (4) GIVES 2H+ 2I + 2J = 36 H+ I + J = 18 Using equation (5) and equation (3) we get (5) 18 + I = 33 I = 15 FROM (2) 2H + 15 = 19 H = 2 FROM (4) 15 + 2J = 17 J = 1 D = 3 + H = 3+2 = 5 E = H + I = 2+15 = 17 F = I + J = 15+1 = 16 G = J + 6 = 1+6 = 7 Solution
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