Two numbers (x + y) equal (=) 53 and have a difference (x - y) of (=) 25.
So, x + y = 53 and x - y = 25.
Solve one equation for a variable. We'll solve for x in the first equation.
x + y = 53 Subtract y from both sides x = 53 - y
Substitute x for (53 - y) in the second equation.
x - y = 25 Substitute (53 - y) in the x spot 53 - y - y = 25 Combine like terms (-y and -y) 53 - 2y = 25 Subtract 53 from both sides -2y = -28 Divide both sides by -2 y = 14
Now, find x by plugging this y-value (14) into the first equation.
x + y = 53 Substitute y for 14 x + 14 = 53 Subtract 14 from 53 x = 39
Check both of your answers by plugging them into the original equations.
x + y = 53 Plug in your numbers (39 and 14) 39 + 14 = 53 Add 53 = 53
x - y = 25 Plug in your numbers (39 and 14) 39 - 14 = 25 Subtract 25 = 25
