the sum of two rational numbers of 63, and their difference is 12? What are the numbers?

Answer:The two numbers are 37.5 and 25.5Step-by-step explanation:CommentLet the two numbers be x and yEquationsx + y = 63x - y =  12SolutionAdd the two equations. The ys cancel out.2x = 75               Divide by 22x/2 = 75/3         Do the divisionx = 37.5Now use one of the given equations to solve for yx + y = 63x = 37.537.5 + y = 63                     Subtract 37.5 from both sides37.5-37.5+y= 63 - 37.5     Collect the like terms on both sidesy = 25.5Checkx - y =? 1237.5-25.5 =? 1212 = 12