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the product of two numbers is 240. the first number is 8 less than the …

Question

the product of two numbers is 240. the first number is 8 less than the second number. which equation can be used to find x, the lesser number?
○ $x(x - 8) = 240$
○ $x(x + 8) = 240$
○ $x^2 - 8 = 240$
○ $x^2 + 8 = 240$

Explanation:

Step1: Define the numbers

Let \( x \) be the lesser number. The first number (lesser) is 8 less than the second number, so the second number is \( x + 8 \).

Step2: Set up the product equation

The product of the two numbers is 240. So, multiply the two numbers: \( x(x + 8) = 240 \).

Answer:

\( x(x + 8) = 240 \) (the second option)