Question

related questions: lesson 6: common algebra word problems

type the answer in the box, using whole numbers.

the sum of three consecutive numbers is 90. what are the numbers? (hint: consecutive numbers are in counting order. if the first number is \\(n\\), the second is \\(n + 1\\), and the third is \\(n + 2\\).)

q. what is the third term?

Explanation:

Translate the word problem into an equation

Using the Translating Word Problems knowledge point

$$ n + (n + 1) + (n + 2) = 90 $$

Simplify the equation

Using the Solving Multi-Step Equations knowledge point

$$ 3n + 3 = 90 $$

Solve for the first term

Using the Solving Multi-Step Equations knowledge point

$$
LATEXBLOCK0
$$

Determine the third term

Using the Translating Word Problems knowledge point

$$
LATEXBLOCK1
$$

Answer:

The sum of three consecutive numbers is 90. What are the numbers? (Hint: Consecutive numbers are in counting order. If the first number is \(n\), the second is \(n + 1\), and the third is \(n + 2\).)

Q. What is the third term? <blank>31</blank>