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Answer :
148 + 2x = 193 - 1x
2x + 1x = 193 - 148
3x = 45
(Divide)
[tex] \frac{3x}{3} [/tex] = [tex] \frac{45}{3} [/tex]
x = 15
It will take 15 weeks until Jon and Matt weigh the same.
2x + 1x = 193 - 148
3x = 45
(Divide)
[tex] \frac{3x}{3} [/tex] = [tex] \frac{45}{3} [/tex]
x = 15
It will take 15 weeks until Jon and Matt weigh the same.
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Answer:
In 15 weeks, Jon and Matt would have same weight.
Step-by-step explanation:
We are given the following information in the question:
Let x be the weeks after Jon and Matt have same weight.
Jon's weight = 148 lb
He gains 2 lb every week.
Then weight of Jon in x weeks would be given by the equation:
[tex]148 + 2x[/tex]
Matt's weight = 193 lb
He looses 1 lb every week.
Then weight of Matt in x weeks would be given by the equation:
[tex]193 - x[/tex]
Then, according to the question:
[tex]148 + 2x = 193 - x\\ 3x = 45\\x = 15[/tex]
Thus, in 15 weeks, Jon and Matt would have same weight.
