Question

The sum of two numbers is 62 and the difference is 12 what are the numbers

Answer 1

Answer is the numbers 25 and 37

The two equations will be
x + y = 62 (sum)
x - y = 12 (difference)

I like to change the second equation into y intercept for easy math so

x + y = 62
y = x - 12

Substitute the y value of the second equation into the y place in the first.

x + x - 12 = 62
2x - 12 = 62
Add 12 to both sides to isolate x
2x -12 + 12 = 62 + 12
2x = 74
Divide both sides by 2 to solve for x
x = 37

Now solve for y
Substitute your x value into the first equation

x + y = 62
37 + y = 62
Subtract 37 from both sides to solve for y
37 - 37 + y = 62 - 37
y = 25

Now check your work, substitute x and y into the first equation and solve

x + y = 62
37 + 25 = 62
62 = 62

Problem solved!!

Answer 2

Hello there! The two numbers that apply for this would be 37 and 25. We can solve this one by one:

x + y = 62

x - y = 12

(x + y) + (x - y) = 74

Since we are using two variables, we can divide 74 by 2 to get x.

74 divided by 2 gives us 37, which means x = 37.

Now that we have x, we can implement that into our equations:

37 + y = 62

37 - y = 12

The number that verifies the equations would be 25; 37 + 25 = 62, and 37 - 25 = 12.

Your final answer is:

x = 37
y = 25

Hope this helps!