Jon weights 148 lbs and hopes to gain 2 lbs a week. matt weighs 193 lbs and hops to l lb a week. how many weeks until they weigh the same

It will take 15 weeks for both Jon and Matt to weigh the same.

Given:

Jon : 148 lbs and gain 2lbs a week

Matt : 193 lbs and lose 1lb a week

Find the number of weeks until they both weigh the same.

Jon = Matt

148 + 2w = 193 - 1w

2w + 1w = 193 - 148

3w = 45

w = 45/3

w = 15

To check:

148 + 2 (15) = 193 - 1 (15)

148 + 30 = 193 - 15

178 = 178