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The quotient of two numbers is 4. Their sum is 5. What are the two numbers?

Question

The quotient of two numbers is 4. Their sum is 5. What are the two numbers?

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Solution

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

From the problem, we have two equations:

  1. x/y = 4, which means x = 4y. This is because the quotient of x and y is 4.

  2. x + y = 5. This is because the sum of the two numbers is 5.

We can substitute equation 1) into equation 2) to solve for y:

4y + y = 5 5y = 5 y = 1

Substitute y = 1 into equation 1) to solve for x:

x = 4*1 x = 4

So, the two numbers are 4 and 1.

This problem has been solved

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