The product of a number and 3 less than the number is 928. Find the numbers. Assume both numbers are positive. The numbers are and 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
**Problem Statement:**

The product of a number and 3 less than the number is 928. Find the numbers. *Assume both numbers are positive.*

**Solution:**

The numbers are [ ___ ] and 5.

In this problem, we are given that the product of a number and a value that is 3 less than that number equals 928. We need to find two positive numbers that satisfy this condition. One of the numbers is given as 5.

This problem involves setting up an algebraic equation and solving it, which can be expressed as:

Let the number be \( x \).
Then, the other number is \( x - 3 \).

\[
x(x - 3) = 928
\]

Given that one of the numbers is 5, you may substitute and check the values to solve this equation effectively.
Transcribed Image Text:**Problem Statement:** The product of a number and 3 less than the number is 928. Find the numbers. *Assume both numbers are positive.* **Solution:** The numbers are [ ___ ] and 5. In this problem, we are given that the product of a number and a value that is 3 less than that number equals 928. We need to find two positive numbers that satisfy this condition. One of the numbers is given as 5. This problem involves setting up an algebraic equation and solving it, which can be expressed as: Let the number be \( x \). Then, the other number is \( x - 3 \). \[ x(x - 3) = 928 \] Given that one of the numbers is 5, you may substitute and check the values to solve this equation effectively.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education