Concept explainers
To find: The two numbers as per the given situation.
Answer to Problem 58E
The two numbers are 18 and 6.
Explanation of Solution
Given:
The sum of two numbers is twice their difference and the larger number is 6 more than twice the smaller number.
Calculation:
Let the larger number be x and smaller number be y.
According to the given data, the sum of two numbers is twice their difference.
According to the given data, larger number is six more than twice the smaller number.
Use substitution method to find the values of x and y.
Substitute
Simplify the above equation for the value of y.
The value of y is 6.
Back - substitute 6 for y in equation (2).
The value of x is 18.
Thus, the two numbers are 18 and 6.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning