Mathcounts Problem 189 NEED WORK WITH ANSWER!!!

Mathematics
Tutor: None Selected Time limit: 1 Day

The sum of two numbers is 1, and the absolute difference of the two numbers is 2. What is the product of the two numbers? Express your answer as a common fraction.

Apr 11th, 2015

x + y = 1

|x - y| = 2

 x + y = 1
 x - y = 2
-   +     -
------------

2y = - 1

y = - 1/2

Now the value of x is

x - 1/2 = 1

x = 1 + 1/2

x = 3/2

Product of two numbers is 

xy = -1/2 * 3/2

xy = - 3/4

Apr 11th, 2015

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