10 years ago, ali was three times as old as ahmed. if ali is now 30 years old. how old is ahmed now?

Let's solve the problem step by step.

1. **Let Ahmed's age 10 years ago be \( x \).**
2. **Since Ali was three times as old as Ahmed 10 years ago, Ali's age 10 years ago would have been \( 3x \).**
3. **We're given that Ali is now 30 years old. Therefore, 10 years ago, Ali was \( 30 - 10 = 20 \) years old.**

So, we have the equation:
\[
3x = 20
\]
4. **Solve for \( x \) to find Ahmed's age 10 years ago:**

\[
x = \frac{20}{3} = 6.67 \text{ years (approximately)}
\]

5. **Ahmed's current age can be found by adding 10 years to \( x \):**

\[
\text{Ahmed's age now} = 6.67 + 10 = 16.67 \text{ years (approximately)}
\]

So, Ahmed is approximately 16.67 years old now.

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

Here are some related questions:
1. What would be Ahmed's exact age if we consider whole numbers only?
2. If Ali was twice as old as Ahmed 5 years ago, how old would Ahmed be now?
3. How old was Ahmed when Ali was 25 years old?
4. How would the problem change if Ali were 35 years old now?
5. What if Ali were 4 times as old as Ahmed 10 years ago?

**Tip:** When dealing with age-related word problems, clearly identify the time reference (e.g., "10 years ago") and set up equations accordingly.

10 years ago, Ali was three times as old as Ahmed. If Ali is now 30 years old, how old is Ahmed now?

Learn how to solve an age-related word problem where Ali was three times as old as Ahmed 10 years ago. Given that Ali is now 30 years old, this problem uses basic algebra and linear equations to find Ahmed's current age. Suitable for students in Grades 6-8.

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