Find two numbers whose product is 140 and whose sum is 27

x* y = 140

x + y = 27

140/y + y = 27

140 + y^2 = 27y

y^2 -27y +140 = 0

y^2 - 20y - 7y + 140 = 0

y(y - 20) - 7(y - 20) = 0

y = 7 , 20

x = 27 - 7 =  20

or x = 27 -20

       =  7