December 13th, 2011, 12:54 AM  #1 
Senior Member Joined: Jul 2011 Posts: 400 Thanks: 15  no. of digit
The no. which is of the form which is divisible by where are digits. 
December 13th, 2011, 02:31 AM  #2  
Senior Member Joined: Feb 2010 Posts: 682 Thanks: 129  Re: no. of digit Quote:
 
December 13th, 2011, 08:39 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,762 Thanks: 860  Re: no. of digit
Also x=9, y=6: 34956

December 13th, 2011, 08:45 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,184 Thanks: 481 Math Focus: Calculus/ODEs  Re: no. of digit
If a number is divisible by 36 then it is divisible by 4 and 9. To be divisible by 4, then the number formed by the two rightmost digits will be divisible by 4. 52 and 56 are divisible by 4, so y may be either 2 or 6. If a number is divisible by 9, then the sum of its digits is divisible by 9. 3 + 4 + 5 = 12, so x + y = 6 or x + y = 15. So we have 3 possibilities: (x,y) = (0,6), (4,2), (9,6) 34056 34452 34956 

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