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

The equation x = y-8

The equation (y-8) y = 240

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

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