To solve: the system of equations in two variables.
Answer to Problem 13P
The age of Steve is 12 years old now and age of Teresa is 4 years old.
Explanation of Solution
Given information:
Steve is three times as old as Theresa. In four years he will be twice as old as she will be.
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the Steve’s age now.
Let c = the Theresa‘s age now.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the Steve’s age now.
Let c = the Theresa’s age now.
Age | Now | Four year |
Steve | b | |
Theresa | C |
According to the equation,
Also,
Substituting equation (i) in (ii)
Putting value of c in equation (i) we get,
Hence, the age of Steve is 12 years old now and age of Teresa is 4 years old .
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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