Give me two numbers such that the product is 1000 and the sum is 70.
The two numbers (denoted x and y for simplicity) must adhere to the following equalities:
i) xy = 1000
ii) x + y = 70

We can substitute equation (ii) into one to yield the following result:
iii) x(70 - x) = 1000 --> x^2 - 70x + 1000 = 0

Through the application of the quadratic formula, we can discern that the two numbers are 50 and 20.