Thread: Weight question(interesting)

1. 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.

2. Let $X_1,X_2,X_3,X_4$ be the weights of the four oranges such that $X_1.
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 $X_1+X_4=88$.

3. Originally Posted by math sucks
Let $X_1,X_2,X_3,X_4$ be the weights of the four oranges such that $X_1.
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.?