Bye is three times as old as camilla. Four years from now, bye will be just two times as old as camilla. how old are bye and camilla.

Let \( B \) represent Bye's current age and \( C \) represent Camilla's current age. 

From the problem, we have two key pieces of information:
1. "Bye is three times as old as Camilla" translates to the equation:
   \[
   B = 3C
   \]
   
2. "Four years from now, Bye will be just two times as old as Camilla" translates to:
   \[
   B + 4 = 2(C + 4)
   \]

Now, let's solve these equations step by step.

### Step 1: Solve the second equation
Start by expanding the second equation:
\[
B + 4 = 2(C + 4)
\]
\[
B + 4 = 2C + 8
\]
\[
B = 2C + 4
\]

### Step 2: Substitute the first equation into the second
From the first equation, we know \( B = 3C \), so substitute \( 3C \) into the second equation:
\[
3C = 2C + 4
\]
Subtract \( 2C \) from both sides:
\[
C = 4
\]

### Step 3: Solve for Bye's age
Using \( C = 4 \) in the first equation \( B = 3C \):
\[
B = 3 \times 4 = 12
\]

### Final Answer:
Bye is 12 years old, and Camilla is 4 years old.

Would you like further details on how this was solved or have any questions?

Here are 5 related questions for practice:
1. If Bye was 2 times Camilla's age instead of 3, what would their current ages be?
2. What if Camilla was 5 years younger than she is now, how old would Bye be?
3. How old will both be in 10 years?
4. If in 6 years Bye will be 3 times Camilla's age, how old are they now?
5. What if Bye was only 4 years older than Camilla, how would their ages change?

**Tip:** When solving word problems, always start by translating the words into mathematical equations. This makes it easier to find relationships and solve for unknowns.

Bye is three times as old as Camilla. Four years from now, Bye will be just two times as old as Camilla. How old are Bye and Camilla?

Learn how to solve an age word problem where Bye is three times as old as Camilla, and four years from now, Bye will be twice her age. This problem demonstrates algebraic concepts, including systems of linear equations. Suitable for students in Grades 6-8.

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