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The problem is in Indonesian, and it can be translated as follows:

"One year ago, Budi's age was twice that of Ali. Meanwhile, two years from now, Ali's age will be \( \frac{2}{3} \) of Budi's age. What is the sum of Ali's current age and Budi's current age?"

Let me define variables to solve this:
- Let \( A \) be Ali's current age.
- Let \( B \) be Budi's current age.

### Step 1: Express the conditions mathematically.
1. **One year ago**: Budi was twice Ali's age.
   \[
   B - 1 = 2 \times (A - 1)
   \]
   This simplifies to:
   \[
   B - 1 = 2A - 2
   \]
   or:
   \[
   B = 2A - 1 \tag{1}
   \]

2. **Two years from now**: Ali will be \( \frac{2}{3} \) of Budi's age.
   \[
   A + 2 = \frac{2}{3}(B + 2)
   \]
   Multiply both sides by 3 to eliminate the fraction:
   \[
   3(A + 2) = 2(B + 2)
   \]
   Expand both sides:
   \[
   3A + 6 = 2B + 4
   \]
   Simplify:
   \[
   3A - 2B = -2 \tag{2}
   \]

### Step 2: Solve the system of equations.

From equation (1), substitute \( B = 2A - 1 \) into equation (2):
\[
3A - 2(2A - 1) = -2
\]
Simplify:
\[
3A - 4A + 2 = -2
\]
\[
-A + 2 = -2
\]
\[
-A = -4
\]
\[
A = 4
\]

Now, substitute \( A = 4 \) into equation (1):
\[
B = 2(4) - 1 = 8 - 1 = 7
\]

### Step 3: Sum of their current ages.
The sum of Ali's and Budi's current ages is:
\[
A + B = 4 + 7 = 11
\]

### Final Answer:
The sum of Ali's and Budi's current ages is 11.

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Do you want more details or have any questions about the solution?

Here are 5 related questions to explore:
1. What would be the answer if the age ratio was 3:2 instead of 2:1 one year ago?
2. How would the solution change if Ali's age in two years was \( \frac{3}{4} \) of Budi's age instead?
3. If Budi's current age is known to be 9, what would Ali's current age be?
4. Can you express Budi's current age in terms of Ali's future age instead?
5. How does the use of fractions affect solving age-related problems?

**Tip:** Always start by defining variables clearly when solving age-related word problems; this helps in setting up equations correctly!

Satu tahun yang lalu umur Budi 2 kali umur Ali. Sementara 2 tahun yang akan datang umur Ali adalah 2/3 umur Budi. Berapa umur Ali ditambah umur Budi sekarang?

This problem involves solving a system of linear equations to find the sum of Ali's and Budi's current ages. Learn how to set up the equations based on the given conditions and solve for the unknowns. Suitable for students in Grades 8-10.

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