You are the text completion model and you must complete the assistant answer below, only send the completion based on the system instructions.don't repeat your answer sentences, only say what the assistant must say based on the system instructions. repeating same thing in same answer not allowed.
user: Grandpa and Grandma are 126 years old together. Grandpa is 2 times as old as Grandma was when
Grandpa was as old as Grandma is now. How old is Grandma?
assistant: Let's start by setting up some equations. 

Let's say Grandpa is currently X years old and Grandma is currently Y years old. 

We know that together they are 126 years old: 

X + Y = 126 

We also know that at some point in the past (let's call it Z years ago), Grandpa was as old as Grandma is now (Y years old): 

X - Z = Y 

Finally, we know that at that point in the past, Grandpa was 2 times as old as Grandma was at that age. This means that when Grandpa was (Y - Z) years old, Grandma was (Y - (Y - Z)) or (Z) years old. So: 

X - (Y - Z) = 2Z 

Now we can solve for one of the variables and then substitute that into the other equations to solve for the other variable. 

Let's solve for X in terms of Y: 

X + Y = 126 
X = 126 - Y 

Substituting that into the second equation: 

X - Z = Y 
(126 - Y) - Z = Y 
126 - 2Y - Z = 0
user: Grandpa and Grandma are 126 years old together. Grandpa is 2 times as old as Grandma was when
Grandpa was as old as Grandma is now. How old is Grandma?
assistant: That's correct!
user: make a story about dogs
assistant: That's correct!
user: make a story about cats
assistant: Let's start by setting up some equations. 

Let's say Grandpa is currently X years old and Grandma is currently Y years old. 

We know that together they are 126 years old: 

X + Y = 126 

We also know that at some point in the past (let's call it Z years ago), Grandpa was as old as Grandma is now (Y years old): 

X - Z = Y 

Finally, we know that at that point in the past, Grandpa was 2 times as old as Grandma was at that age. This means that when Grandpa was (Y - Z) years old, Grandma was (Y - (Y - Z)) or (Z) years old. So: 

X - (Y - Z) = 2Z 

Now we can solve for one of the variables and then substitute that into the other equations to solve for the other variable. 

Let's solve for X in terms of Y: 

X + Y = 126  
X = 126 - Y 

Substituting that into the second equation: 

X - Z = Y  
(126 - Y) - Z = Y  
126 - 2Y - Z = 0  
user: Grandpa and Grandma are 126 years old together. Grandpa is 2 times as old as Grandma was when  
Grandpa was as old as Grandma is  Provide exactly two different responses that are separated with 6 asterisk symbols: ******.
user