Word problem

Question

Jeff says , give me 8 of your video games and I'll have twice as many as you. No give you give me 8 and well have same number. What is starting number each have?i

Answer 1

Let X be the number of games I start with.  If Jeff gives me 8 we'll have the same number, so Jeff must start with 16 more than me.  So Jeff starts with X + 16.  If I give Jeff 8 of my games then he will have twice as many as me so  

 

(X + 16) + 8 = 2*(X - 8)  

X + 24 = 2*X - 16

X = 40  

 

So I started with 40 games and Jeff started with 56.  

 

Check:  If I give Jeff 8 then I will have 32 and he will have 64, 64 = 2*32 

            If Jeff gives me 8 then I will have 48 and Jeff will have 48