Question

If $\mathrm{a}$ and $\mathrm{b}$ are positive integers, then the solution of the equation $\mathrm{ax}=\mathrm{b}$ has to be always

• A. positive
• B. negative
• C. one
• D. zero

Answer 1

The correct option is A

positive

Explanation for correct option

Given: $\mathrm{a}$ and $\mathrm{b}$ are positive integers,

Now solution of the given equation $\mathrm{ax}=\mathrm{b}$,

$\mathrm{x}=\frac{\mathrm{b}}{\mathrm{a}}$

So, $\mathrm{x}$ will be positive as both the numerator and denominator are positive, which will give positive quotient only.

Thus, the solution of the equation $\mathrm{ax}=\mathrm{b}$ has to be always positive.

Thus option(A) is correct

Explanation for incorrect options

As the solution of the given equation is $\mathrm{x}=\frac{\mathrm{b}}{\mathrm{a}}$.

Option (B): Solution can never be negative as both numerator and denominator are positive.

Thus option(B) is incorrect

Option (C): Solution can not be one as $\mathrm{b}$$\ne \mathrm{a}$.

Thus option(C) is incorrect

Option (D): Solution can not be zero as $\mathrm{b}$$\ne 0$

Thus option(D) is incorrect

Hence, the correct option is option(A)