100 and 25
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Let's call the two numbers x and y.
From the given information, we can set up two equations:
- x - y = 75 (difference of two numbers is 75)
- x / y = 4 (quotient of two numbers is 4)
From equation 1, we can express x in terms of y:
Substituting this value of x in equation 2, we get:
Simplifying further, we have:
Solving this equation, we find that:
Substituting y = 25 in x = y + 75, we get:
Therefore, the two numbers are 100 and 25.