I have three packages whose total weight is 60 kg. If the two heaviest packages weigh 50 kg together, and the two lightest weigh 25 kg together,
what is the weight, in kg, of the heaviest package?
Heaviest -- h
middle --- m
lightest -- l
h+m+l = 60 (1)
h+m = 50 (2)
m+l = 25 (3)
(1) - (2) ----> l = 10
(1) - (3) ----> h = 35
then m = 15
check: total = 60
lightest + middle = 25
heaviest + middle = 50 CHECK!
To find the weight of the heaviest package, we need to subtract the weight of the two heaviest packages from the total weight of all three packages.
Let's denote the weight of the heaviest package as "x."
According to the given information:
- The weight of the two heaviest packages is 50 kg, so their combined weight is 50 kg.
- The weight of the two lightest packages is 25 kg, so their combined weight is 25 kg.
So, we can set up the equation:
x + 25 + 25 = 60
Simplifying the equation:
x + 50 = 60
Subtracting 50 from both sides, we get:
x = 10
Therefore, the weight of the heaviest package is 10 kg.