The quotient of two numbers is 10. The difference of the two numbers is 9. What are the two numbers?
Question
The quotient of two numbers is 10. The difference of the two numbers is 9. What are the two numbers?
Solution
Let's denote the two numbers as x and y.
From the problem, we have two equations:
- x/y = 10 (The quotient of two numbers is 10)
- x - y = 9 (The difference of the two numbers is 9)
We can rewrite the first equation as x = 10y and substitute this into the second equation:
10y - y = 9 9y = 9 y = 1
Substitute y = 1 into the first equation:
x = 10*1 x = 10
So, the two numbers are 10 and 1.
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