Let x be the number of months
Jeff weighs 20 pounds and is gaining 10 pounds per month
In 1 month weight gained is 10 pounds
in x month weight , 10x
so Jeff will gain 10x + 20 pounds
Darius Waze 150 pounds and is gaining 4 pounds per month
In 1 month weight gained is 4 pounds
in x month weight , 4x
so Darius will gain 4x + 150 pounds in x months
Now we make the wights same and solve for x
10x + 20= 4x + 150
Subtract 4x and subtract 20 from both sides
10x + 20 - 4x= 4x + 150- 20
6x = 130
Divide both sides by 6
x= 21.67
so it will take 21.67 months for Jeff two way the same as Darius
