Question

If $a$ and $b$ are positive integers then the solution of the equation $ax=b$ has to be always:

• A. One
• B. Zero
• C. Positive
• D. Negative

Answer 1

The correct option is C

Positive

Explanation for the correct option:

If $ax\mathit{=}b$, then $x\mathit{=}\frac{b}{a}$

Since $a$ and $b$ are both positive integers.

$\Rightarrow \frac{\mathit{b}}{\mathit{a}}>0$

Therefore, $\frac{\mathit{b}}{\mathit{a}}$ is also a positive number.

Hence, option C is correct.