Question

The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x

Answer 1

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

Explanation:-

Step(l):-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

                           (y-8) y = 240

                           $y^{2} -8y -240 =0$

                            $y^{2} -20y+12y -240 =0$

                           $y(y -20)+12(y -20) =0$

                           $(y +12)(y -20) =0$

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

Step(ll):-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

Final answer:-

The first number x = 12 and second number y =20