To solve: the system of equations in two variables.
Answer to Problem 27P
The age of father is 36 years old now and age of son is 10 years old now .
Explanation of Solution
Given information:
A father, being asked his age and that of his son , said ,”If you add 4 to my age and divide the sum by 4, you will have my son’s age. But 6 years ago I was
Formula used:
Age problem.
Step1. The problem asks for the Bob’s age and Claire’s age now.
Step2. Let b = the father’s age .
Let c = the son‘s age .
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let b = the father’s age now .
Let c = the son’s age now .
According to the question,
Age | Six year ago |
Father | |
Son |
This implies
Substituting equation (ii) in (iii) we get,
Putting value of c in equation (ii)
Hence, the age of father is 36 years old now and age of son is 10 years old now .
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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