Question

one positive number is 2 more than twice another. their product is 60.
step 1 of 2 : set up an equation to solve the given word problem.

answer
\\(x(2x) = 60\\)
\\(x(x + 2) = 60\\)
\\(x(2x + 2) = 60\\)
\\(x + 2x + 2 = 60\\)

Explanation:

Define the variables

Using the Quadratic Word Problems knowledge point
Let \(x\) represent the first positive number.

Express the second number

Using the Quadratic Word Problems knowledge point
The other positive number is \(2\) more than twice the first number:

$$ 2x + 2 $$

Set up the equation

Using the Quadratic Word Problems knowledge point
The product of the two positive numbers is \(60\):

$$ x(2x + 2) = 60 $$

Answer:

• (A) \(x(2x) = 60\)
• (B) \(x(x + 2) = 60\)
• (C) \(x(2x + 2) = 60\) (Correct answer)
• (D) \(x + 2x + 2 = 60\)