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Let's denote the two numbers as x and y. We have the following system of equations:
- x * y = 70
- x + y = 17
To solve this system, we can use substitution or elimination methods. By substituting y = 17 - x into the first equation, we get x(17 - x) = 70. Simplifying further, we get a quadratic equation x^2 - 17x + 70 = 0. Factoring this quadratic equation, we find that the two numbers are 10 and 7.
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