SOLUTION: Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90kg, 92kg, 93kg, 94kg, 95kg, 96kg, 97kg, 98kg, 100kg and 101kg. The total weight o

Algebra ->  Expressions-with-variables -> SOLUTION: Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90kg, 92kg, 93kg, 94kg, 95kg, 96kg, 97kg, 98kg, 100kg and 101kg. The total weight o      Log On


   



Question 1023654: Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90kg, 92kg, 93kg, 94kg, 95kg, 96kg, 97kg, 98kg, 100kg and 101kg. The total weight of the five boys is what?
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Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90kg, 92kg, 93kg, 94kg, 95kg, 96kg, 97kg, 98kg, 100kg and 101kg. The total weight of the five boys is what?
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A + B = 90,
A + C = 92,
A + D = 93,
A + E = 94,
B + c = 95,
B + D = 96,
B + E = 97,
C + D = 98,
C + E = 100,
D + E = 101.

Now add all these equations (left sides and right sides). You will get

4*(A + B + C + D + E) = the sum (calculate this sum yourself please).

Now A + B + C + D + E = the_sum%2F4.

It is your answer.