The document presents a problem to find two numbers X and Y such that the absolute value of their sum is equal to the sum of their absolute values. It provides the example of X=3 and Y=4, and shows that the equality holds. It then shows another example with X=-3 and Y=-4, also satisfying the equality. It concludes that the equality holds whenever X and Y are both positive or both negative.

1. WELCOME

2. PROBLEM
Find two numbers X and Y
such that
│X+Y│= │X│+ │Y│

3. Let X=3 and Y=4
SOLUTION

4. │X+Y│=│3+4
│
= 7

5. │X│= 3 , │Y│= 4
│X│ + │Y│= 3 +
4 = 7
Ie,│X+Y│ =
│X│+│Y│

6. Let X= -3 and y= -4

7. │X+Y│=│(-3)+(-4)│
=│ -3-4│
=│-7│
= 7

8. │X│=│-3│= 3,
│Y│=│-4│= 4

9. │X│+│Y│=3+4=7
ie,│X+Y│=│X│+│Y│

10. If the numbers X and
Y both positive or
negative ,
then
│X+Y│=│X│+│Y│

11. THANK YOU