In four years, Ramona's age in years will be twice Charlie's age in years.

Phase 1: Owning the Dataset

Understanding the Age Relationship

Let's use a timeline to visualize the ages:

Now                    In 4 years
Charlie: C ----------> C + 4
Ramona:  R ----------> R + 4 = 2(C + 4)

Setting Up the Mathematical Relationship

From the given information:

• In 4 years: Ramona's age = 2 × Charlie's age
• Mathematical expression: \(\mathrm{R + 4 = 2(C + 4)}\)

Let's simplify this:

• \(\mathrm{R + 4 = 2C + 8}\)
• \(\mathrm{R = 2C + 4}\)

Key insight: Ramona is currently 4 years older than twice Charlie's age.

Phase 2: Understanding the Question

We need to find:

• Statement 1 (Ramona): A value that could be Ramona's current age
• Statement 2 (Charlie): A value that could be Charlie's current age

Available choices: 2, 12, 14, 20, 24, 28

Phase 3: Finding the Answer

Systematic Checking Strategy

Since we have the relationship \(\mathrm{R = 2C + 4}\), let's check each possible value for Charlie to see if the corresponding Ramona value exists in our choices.

If Charlie = 2:

• Ramona = \(\mathrm{2(2) + 4 = 8}\)
• Is 8 in our choices? No, continue.

If Charlie = 12:

• Ramona = \(\mathrm{2(12) + 4 = 28}\)
• Is 28 in our choices? Yes! ✓
• Stop here - we found our answer.

Verification

Let's verify our answer:

• Current ages: Charlie = 12, Ramona = 28
• In 4 years: Charlie = 16, Ramona = 32
• Is \(\mathrm{32 = 2 × 16}\)? Yes! ✓

Phase 4: Solution

Final Answer:

• Statement 1 (Ramona): 28
• Statement 2 (Charlie): 12

Ramona is currently 28 years old and Charlie is currently 12 years old. In four years, when Charlie is 16, Ramona will be 32, which is exactly twice Charlie's age at that time.