Answer :
Final answer:
Nick and Adam's weights can be represented by equations, which can be set equal to each other to find the number of weeks it will take for them to weigh the same amount.
Explanation:
To find the number of weeks it will take for Nick and Adam to weigh the same amount, we can set up an equation using their respective weights and rates of change. Let's assume x represents the number of weeks:
Nick's weight after x weeks = 160 + 3x
Adam's weight after x weeks = 195 - 2x
To find the number of weeks when they weigh the same amount, we set the two equations equal to each other and solve for x:
160 + 3x = 195 - 2x
5x = 35
x = 7
Therefore, it will take them 7 weeks to weigh the same amount.
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