the sum of two numbers is 15 and their difference is 7. what are the two numbers?

1 answer

Let the two numbers be x and y.

According to the given information, we have:
1. x + y = 15
2. x - y = 7

Now we can solve this system of equations by adding the two equations together to eliminate y:

(x + y) + (x - y) = 15 + 7
2x = 22
x = 11

Now we can substitute the value of x back into the first equation to solve for y:

11 + y = 15
y = 15 - 11
y = 4

Therefore, the two numbers are 11 and 4.