Answer:
the two integers are 10 and 3
Step-by-step explanation:
* Let the two integers be x and y
* We know their difference is 7, so x - y = 7
* We also know their product is 40, so xy = 40
* Solving the first equation for y, we get y = x - 7
* Substituting this into the second equation, we get x(x - 7) = 40
* Expanding and simplifying, we get x^2 - 7x - 40 = 0
* Solving this quadratic equation, we get x = 10 and x = -10
* Since the question asks for positive integers, the two integers are 10 and 3.
