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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.

### Problem statement:
- 10 years ago, Ali was three times as old as Ahmed.
- Ali is now 30 years old.
- We need to find how old Ahmed is now.

### Define variables:
- Let Ahmed's current age be \( x \).
- 10 years ago, Ahmed's age was \( x - 10 \).
- 10 years ago, Ali's age was \( 30 - 10 = 20 \).

### Equation:
From the problem, we know that 10 years ago, Ali's age was three times Ahmed's age. So, the equation becomes:
\[
20 = 3 \times (x - 10)
\]

### Solve for \( x \):
\[
20 = 3(x - 10)
\]
\[
20 = 3x - 30
\]
\[
20 + 30 = 3x
\]
\[
50 = 3x
\]
\[
x = \frac{50}{3} = 16.67
\]

So, Ahmed is approximately **16.67 years old** now.

Would you like further clarification on any step?

### Follow-up questions:
1. What is Ali's age difference with Ahmed now?
2. Can you express Ali's and Ahmed's ages as a ratio now?
3. How old will Ahmed be in 5 years?
4. How old was Ahmed when Ali was born?
5. If Ali were 5 years older, how would this affect Ahmed's current age calculation?

**Tip:** When dealing with age-related word problems, it's useful to carefully set up equations based on the conditions described.

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

Solve the word problem where 10 years ago, Ali was three times as old as Ahmed. With Ali currently being 30 years old, this problem involves algebraic equations to find Ahmed's current age. Suitable for Grades 7-9.

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