Question

The sum of two numbers is 53 and the difference is 15 . What are the numbers?

Answer 1

Answer:

34 and 19.

Step-by-step explanation:

Since the sum of the two numbers is 53, x+y=53. Since the difference is 15, x-y=15.

Adding x+y=53

and       x-y=15,

The ys cancel, leaving 2x=68, or x=34. Therefore, 34-y=15, or y=19.

Answer 2

Answer:

34 and 19.

Step-by-step explanation:

If the numbers are x and y:

x + y = 53

x - y = 15       Add the 2 equations:

2x + y - y = 68

2x = 68

x = 34.

As they add up to 53:

y = 53 - 34 = 19.