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