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Math Help - Weight question(interesting)

  1. #1
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    Weight question(interesting)

    if there exist 4 different weight orange, given that the sum of weight of 2 of this 4 orange are 69g, 83g, 95g, 100g, 114g respectively. however, there exist 1 combination of 2 orange that haven't been weight together, what is the sum of weight of this 2 orange that haven't been weight together.
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  2. #2
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    Let X_1,X_2,X_3,X_4 be the weights of the four oranges such that X_1<X_2<X_3<X_4.
    Let X_1+X_2=69,\ \ X_1+X_3=83,\ \ X_2+X_3=95,\ \ X_2+X_4=100,\ \ X_3+X_4=114.
    Then solving gives us X_1=28.5,X_2=40.5,X_3=54.5,X_4=59.5. So the only 2 orange combination left is X_1+X_4=88.
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  3. #3
    Ant
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    Quote Originally Posted by math sucks View Post
    Let X_1,X_2,X_3,X_4 be the weights of the four oranges such that X_1<X_2<X_3<X_4.
    Let X_1+X_2=69,\ \ X_1+X_3=83,\ \ X_2+X_3=95,\ \ X_2+X_4=100,\ \ X_3+X_4=114.
    Then solving gives us X_1=28.5,X_2=40.5,X_3=54.5,X_4=59.5. So the only 2 orange combination left is X_1+X_4=88.
    Hi, how did you solve to find the values of X1, X2, etc.?
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