To solve: the system of two equations in two variables.
Answer to Problem 18P
The fraction is
Explanation of Solution
Given information:
If the numerator fraction is increased by 4, the value of the resulting fraction is
Formula used:
Fraction problem
Step1. The problem asks for .
Step2. Let n = the numerator of the fraction
Let d = the denominator of the fraction.
Then
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let d = the denominator of the fraction.
The numerator of a fraction
Therefore, the fraction is
According to the question,
Fraction | denominator is increased by 2 |
Numerator | |
Denominator |
Therefore,
Putting equation (ii) in (iii) we get,
Equation (iv) in (ii)
Therefore, the numerator is 11 and the denominator is 20.
Hence, the fraction is
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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