Let x represent the larger number. .. x -(46 -x) = 14 . .the difference is 14 .. 2x = 60 . . . . . . simplify .. x = 30 . . . . . . . divide by 2 The larger number is 30; the smaller is 16.
x is the larger of the two numbers. x + y = 46 x - y = 14 Add these two equations. 2x = 60 Divide by 2. x = 60/2 x = 30 x + y = 46 Put 30 in for x 30 + y = 46 Subtract 30 y = 36 - 30 y = 16
