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Answer :
Final answer:
b) David: 56kg, Sucha: 64kg, Paul: 72kg
To solve this problem, we can set up a system of equations and find the masses of David, Sucha, and Paul. The correct answer is option b) David: 56kg, Sucha: 64kg, Paul: 72kg.
Explanation:
To solve this problem, we can set up a system of equations. Let's assume that the mass of Sucha is x kg. Then, David's mass would be x - 5 kg, and Paul's mass would be x + 8 kg.
According to the given information, their total mass is 197 kg. So, we can form the equation:
x + (x - 5) + (x + 8) = 197
Simplifying the equation, we get: 3x + 3 = 197
Subtracting 3 from both sides, we have: 3x = 194
Dividing both sides by 3, we find x = 64.
Therefore, Sucha's mass is 64 kg, David's mass is 64 - 5 = 59 kg, and Paul's mass is 64 + 8 = 72 kg.
So, the correct answer is option b) David: 56kg, Sucha: 64kg, Paul: 72kg.
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