To solve: the system of equations in two variables.
Answer to Problem 31P
The age of Laura is 18 years old now and age of Maria is 12 years old now.
Explanation of Solution
Given information:
Laura is 3 times as old as Maria was when Laura was as old as Maria is now. In 2years, Laura will be twice as old as Maria was 2 years ago.
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the Laura’s age .
Let c = the Maria‘s age .
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the Laura’s age .
Let c = the Maria’s age .
Let the age of Laura and Maria in Y years ago be :-
Age | Y year ago |
Laura | |
Maria |
According to the equation,
Also,
Substituting equation (ii) in (i)
Now,
Age | 2 year | 2 years ago |
Laura | ||
Maria |
Putting equation (iv) in (v) we get,
Putting value of c in equation (iv)
Hence, the age of Laura is 18 years old now and age of Maria is 12 years old now .
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Elementary Algebra
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Algebra and Trigonometry
Linear Algebra and Its Applications (5th Edition)
Elementary and Intermediate Algebra
A Graphical Approach to College Algebra (6th 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