Concept explainers
For Exercises
The sum of two numbers is 12. The difference of the same two numbers is 4. What is the larger of the two numbers?
F. 4
H. 7
G. 5
I.8
To find: The larger number.
Answer to Problem 2STP
The larger number is 8.
Explanation of Solution
Given:
Sum and difference of two numbers are 12 and 4 respectively.
Calculation:
Consider, x and y are the two numbers.
Using the provided information, the two equations could be written as:
These two equations could be solved as:
Plug in the value of y in equation (1) as:
Thus, the larger number is 8.
Hence, the correct option is (I).
Chapter 6 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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