Answer:
Explanation:
If the weight of Ram and Sam are in the ratio 4:7, and the weight of Aari and Ram are in the ratio 3:2, you can use this information to set up a system of equations to represent the weights of the three people. Let's say that Ram weighs x kilograms. Then, the weight of Sam is 7x/4 kilograms, and the weight of Aari is 3x/2 kilograms.
The maximum difference in weight between any two people is 15 kilograms, so we can set up the following equation to represent this constraint:
|x - (7x/4)| <= 15
|x - 3.5x| <= 15
|-2.5x| <= 15
|x| <= 6
This equation tells us that the weight of Ram (x) must be less than or equal to 6 kilograms or greater than or equal to -6 kilograms.
Since the weight of a person cannot be negative, the maximum weight for Ram is 6 kilograms. Therefore, the maximum weight for Sam is 7x/4 = 76/4 = 10.5 kilograms, and the maximum weight for Aari is 3x/2 = 36/2 = 9 kilograms.
Thus, the maximum weight of the three people is 6 + 10.5 + 9 = 25.5 kilograms.