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It sure took more than 2 minutes because I did a mistake while calculating.

Assume 4x-17y = 0 so x = approx 4y
Make x = 1000 then y = 250. So max value y can take is 250

Now if we see the relation between x and y
we have to have odd number from 17y and even number from 4x and the difference should be 1
one such (x,y) pair is (13,3) and another is (30,7)
The space between each succesive y is 4
So max number of pairs can be 250/4 = approx 62
Only the 58 comes close to this

Lets rearrange
x = (y+1)/4 + 4y
Now we are looking for integer values of x,
Therefore, (y+1)/4 must be an integer.
At x=1000, y+1 =236.2
So what i am looking for is number of multiples of 4 between 0 & 236.

Now u can calculate that there are 59 mutiples of 4 between 0 & 236.

Answer : 59

Good try. More to come.

questions?

Last edited by Praetorian on 08 Mar 2004, 19:00, edited 1 time in total.