What two number add up to 37 and have a difference of 13?

Answer 1

Let's put it into equations

a+b=37 (1)

a-b=13 (2)

From (2) we get a=b+13, putting into (1) : b+13+b=37

Thus 2b+13=37 and 2b=24 and b=12 thus a=25

Answer 2

Let's call the two numbers x and y. We know that x + y = 37 and x - y = 13. Solving these two equations simultaneously, we can add the second equation to the first equation to eliminate the y variable and find the value of x. Putting the value of x back into one of the two equations will give us the value of y.