To solve: the system of equations in two variables.
Answer to Problem 14P
The age of Marion is 12 years old now and age of Les is 16 years old now .
Explanation of Solution
Given information:
Marion was
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the Marion’s age .
Let c = the Les‘s age .
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the Marion’s age .
Let c = the Les’s age .
Age | Four year ago |
Marion | |
Les |
According to the equation,
Also,
Substituting equation (i) in (ii)
Putting value of c in equation (i) we get,
Hence, the age of Marion is 12 years old now and age of Les is 16 years old now .
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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