To solve: the problems about two-digit numbers.
Answer to Problem 9P
The number is 48.
Explanation of Solution
Given information:
The sum of the digits of a two-digit is one third of the number. The units digit is 5 more than the tens digit.
Formula used:
Digit problems are based on our decimal system of numeration.
Step1. The problem asks for the original number.
Step2. Let t = the tens digit of the original number.
Let u = the units digit of the original number.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let t = the tens digit of the original number.
Let u = the units digit of the original number.
Tens | Units | Value | |
Original number | t | u | |
Number reversed | u | t |
According to the question,
Also,
Let t = the tens digit of the original number.
Therefore,
u = the ones digit will be
Substituting equation (ii) in (i) we get,
Putting value of u in equation (ii) we get,
Thus , the 2-digit number is 48.
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Intermediate Algebra (7th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra (6th Edition)
College Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education