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,...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf99ef9a-11bc-4c83-b49c-a6b52894d845%2Fbef2257b-154e-46c8-8cdf-adeacf3e8a65%2Fq771k2a_processed.png&w=3840&q=75)
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.
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