Jeff and darius are trying to gain weight for the football team jeff weighs 20 pounds and is gaining 10 pounds per month darius waze 150 pounds and is gaining 4 pounds per month how many months will it take for jeff two way the same as darius

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