let's consider the highest number as x,
x + x-8 = 240
2x = 232
x = 116
since, your trying to find the equation, it would be x + x-8 = 240
Answer:
[tex]x(x+8)=240[/tex]
Step-by-step explanation:
We are given that [tex]x[/tex] is the lesser number. Therefore, the larger number, which is 8 larger than [tex]x[/tex], must be [tex]x+8[/tex]. Our two numbers multiplied are [tex]x(x+8)[/tex], and they must be equal to 240, as that is given by the question.
Thus,
Equation: [tex]x(x+8)=240[/tex]
Distributive Property: [tex]x^2+8x=240[/tex]
Subtracting both sides by 240: [tex]x^2+8x-240=0[/tex]
Factoring: [tex](x+20)(x-12)=0[/tex]
Casework: [tex]x+20=0, x-12=0\\x=-20, x=12[/tex]
