
To solve: the system of equations in two variables.

Answer to Problem 12P
The age of Cecilia is 30 years old now and age of Joe is 54 years old now.
Explanation of Solution
Given information:
Cecilia is 24 years younger than Joe. Six years ago she was half as old as he was.
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the Cecilia’s age now.
Let c = the Joe‘s age now.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the Cecilia’s age now.
Let c = the Joe’s age now.
Age | Six year ago |
Cecilia | |
Joe |
According to the equation,
Also,
Substituting equation (i) in (ii)
Putting value of c in equation (i) we get,
Hence, the age of Cecilia is 30 years old now and age of Joe is 54 years old now.
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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