Thread: 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.

Let be the weights of the four oranges such that .
Let .
Then solving gives us . So the only 2 orange combination left is .

Originally Posted by math sucks

Let be the weights of the four oranges such that .
Let .
Then solving gives us . So the only 2 orange combination left is .

Hi, how did you solve to find the values of X1, X2, etc.?