If a and b are two positive integers, then the solution of the equation ax = b will always be a

Given:

a and b are two positive integers.

Equation: ax = b

Concept used:

If 'a' and 'b' are positive integers and 'a' is not equal to 0, then the solution 'x' of the equation ax = b will be a positive number.

Calculation:

Since 'a' and 'b' are positive integers, and 'a' is not equal to 0, we can solve for 'x' as:

ax = b

⇒ x = \(\dfrac{b}{a}\)

As 'a' and 'b' are positive integers, the division of a positive integer by a positive integer will result in a positive number. 

∴ The solution of the equation ax = b will always be a positive number.