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The difference of two numbers is 75 and their quotient is 4. What are the two numbers ​

1 Answer

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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:

  1. x - y = 75 (difference of two numbers is 75)
  2. x / y = 4 (quotient of two numbers is 4)

From equation 1, we can express x in terms of y:

  • x = y + 75.

Substituting this value of x in equation 2, we get:

  • (y + 75) / y = 4

Simplifying further, we have:

  • y + 75 = 4y

Solving this equation, we find that:

  • y = 25.

Substituting y = 25 in x = y + 75, we get:

  • x = 25 + 75 = 100

Therefore, the two numbers are 100 and 25.

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