The difference of two numbers is 8. Their quotient is 9. What are the two numbers?

Question

The difference of two numbers is 8. Their quotient is 9. What are the two numbers?
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Solution 1

Let's denote the two numbers as x and y.

From the problem, we have two equations:

  1. x - y = 8 (since the difference of the two numbers is 8)

  2. x / y = 9 (since their quotient is 9)

We can solve this system of equations step by step:

Step 1: From equation 2), we can express x as x = 9y.

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