If the difference between two numbers is 15 and their sum is 47, what are the two numbers?

Question: If the difference between two numbers is 15 and their sum is 47, what are the two numbers?

Let's call the two numbers "x" and "y".

From the problem, we know two things:

The difference between the two numbers is 15:

x - y = 15

The sum of the two numbers is 47:

x + y = 47

We can solve this system of equations simultaneously to find the values of x and y.

One way to do this is to add the two equations:

(x - y) + (x + y) = 15 + 47

Simplifying this expression, we get:

2x = 62

Dividing both sides by 2, we get:

x = 31

Now we can substitute x = 31 into one of the equations to find y. Let's use the equation x + y = 47:

31 + y = 47

Subtracting 31 from both sides, we get:

y = 16

Therefore, the two numbers are 31 and 16.

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