Sunday 7 April 2013

Day 6 Algebra

Mathematics is not magic but rather there is a pattern to it and if we can see it, we would not find mathematics difficult.
 
Try this out.
 
Take 2 numbers and form the biggest number possible from the two digits and subtract the smallest number possible.
The Answer is (the two 2 digits of the asnwer equals to 9)
 
Before I reveal the number trick,
 
Here are a few examples....
Example 1
2 Numbers = 9 & 2
Biggest number possible - Smallest number possible
                               92               -                 29                       = 63 (6+3 = 9)
 
2 number = 9 & 2
9 - 2 = 7
The answer is a multiple of 9 and the answer is the difference between the 2 numbers choosen, multiply by 9.
Hence, 7 x 9 = 63.
 
Example 2
 4 & 5
54 - 45 = 9
 
Example 3
1 & 5
21 - 15 = 36 (3+6 =9)
 
Amazing? Well, let's find out the Number Trick
 
Why is works?     x   y
10 x + y             10 y + x
(10 x + y)           (10 y + x)
9 x - 9 y
9 (x - y)
 

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