The sum of two numbers is 12. Their quotient is 5. What are the two numbers?
Question
The sum of two numbers is 12. Their quotient is 5. What are the two numbers?
Solution
Let's denote the two numbers as x and y.
From the problem, we have two equations:
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x + y = 12 (since the sum of the two numbers is 12)
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x / y = 5 (since their quotient is 5)
We can rearrange the second equation to be x = 5y.
Now we can substitute x = 5y into the first equation:
5y + y = 12 6y = 12 y = 12 / 6 y = 2
Substitute y = 2 into the equation x = 5y:
x = 5 * 2 x = 10
So, the two numbers are 10 and 2.
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