fill in the missing numerals such that sum of each side of W is 1600. remember that you have to use only numeral 100,200,300,400,500,600,700,800,900 without repetition.
Answers
Given : 9 Circles Creating W. Each circle has to fill with numbers 100 , 200 , ,300,400,500,600,700,800,900 without repetition.
To find : Fill the numbers
Solution:
Let say
A B C D E F G H I are the Numbers in Sequence
Sum of Each Side = 1600
A + B + C = 1600
C + D + E = 1600
E + F + G = 1600
G + H + I = 1600
As per fig C & G = 500 if that is the case then ( number if already repeated which is not allowed) also
C + D + E = E + F + G => D = F ( again Repetition of number )
Adding all
A + B + C + D + E + F + G + H + I + C + E + G = 6400
A + B + C + D + E + F + G + H + I = 100(1 + 2 + ..........+ 9)
= 4500
=> 4500 + C + E + G = 6400
=> C + E + G = 1900
There can be multiple Solutions
Lets Take C =500 E = 800 G = 600
D = 300 F = 200
A + B = 1100 => 400 + 700
H + I = 1000 => 100 + 900
400 + 700 + 500 = 1600
500 + 300 + 800 = 1600
800 + 200 + 600 = 1600
600 + 100 + 900 = 1600
Here is one of the solution
400 800 900
700 300 200 100
500 600
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Answer: 400 300 900
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700 800 200 100
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500 600