22. If $$ a=3 $$, then $$ 5 a=15 $$. If $$ \frac{1}{2} a=1 \frac{1}{2} $$, then $$ a=3 $$

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It looks like you're presenting two statements involving the variable $$ a $$. Let's examine each one to verify their accuracy and understand how $$ a = 3 $$ satisfies both conditions.

### 1. If $$ a = 3 $$, then $$ 5a = 15 $$.

**Verification:**

Given:
$$ a = 3 $$

Calculate $$ 5a $$:
$$ 5a = 5 \times 3 = 15 $$

**Conclusion:**  
When $$ a = 3 $$, multiplying it by 5 indeed gives $$ 15 $$. This statement is **true**.

---

### 2. If $$ \frac{1}{2} a = 1 \frac{1}{2} $$, then $$ a = 3 $$.

**Verification:**

Given:
$$ \frac{1}{2} a = 1 \frac{1}{2} $$

First, convert the mixed number to an improper fraction for easier manipulation:
$$ 1 \frac{1}{2} = \frac{3}{2} $$

Now, set up the equation:
$$ \frac{1}{2} a = \frac{3}{2} $$

To solve for $$ a $$, multiply both sides of the equation by 2 to eliminate the fraction:
$$
2 \times \left( \frac{1}{2} a \right) = 2 \times \frac{3}{2}
$$
$$
a = 3
$$

**Conclusion:**  
Solving the equation $$ \frac{1}{2} a = 1 \frac{1}{2} $$ indeed results in $$ a = 3 $$. This statement is **true**.

---

### Summary

Both statements are correct and consistently show that when $$ a = 3 $$:

1. Multiplying $$ a $$ by 5 yields 15.
2. Half of $$ a $$ equals $$ 1 \frac{1}{2} $$.

If you have any further questions or need additional explanations on related topics, feel free to ask!
When $$ a = 3 $$, both $$ 5a = 15 $$ and $$ \frac{1}{2}a = 1 \frac{1}{2} $$ are true.

22. If \( a=3 \), then \( 5 a=15 \). If \( \frac{1}{2} a=1 \frac{1}{2} \), then \( a=3 \)

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