Concept explainers
To find: A two digit number.
Answer to Problem 73E
The two digit number is 29.
Explanation of Solution
Given:
The sum of first and second digit of two-digit number is 7.
The number is increased by 27, when the digits are reversed.
Calculation:
Let the second digit be x, first digit be y and the two – digit number be
According to the given statement a system of equations is,
Second equation is,
That is,
Use substitution method to find the values of x and y.
Simplify equation (1) for the value of x.
Substitute
Simplify the above equation for the value of y.
The value of y is 2.
Back - substitute 2 for y in equation (1).
The value of x is 5.
The two – digit numbers is,
Thus, the two digit number is 25.
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