The quotient of two numbers is 5. Their difference is 4. What are the two numbers?
Question
The quotient of two numbers is 5. Their difference is 4. 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 = 5 (The quotient of two numbers is 5)
- x - y = 4 (Their difference is 4)
We can rewrite the first equation as x = 5y and substitute this into the second equation:
5y - y = 4 4y = 4 y = 1
Substitute y = 1 into the first equation:
x = 5*1 x = 5
So, the two numbers are 5 and 1.
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