Saturday, March 21, 2009

From Singapore Mathematic Olimpiade

Two problems:

Find the value of :

(1+3+5+7+9+11+...+99)
------------------------
(2+4+6+8+10+...+100)


and

Suppose that x and y are real numbers that satisfy all the following three conditions: 
3x - 2y = 4 - p 
4x - 3y = 2 + p
x > y

What are the possible values of p ?

1 comment:

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