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Getting the Numbers With Product And Quotient (Posted on 2007-09-17) Difficulty: 3 of 5
(A) Analytically determine all possible two digit positive decimal integers n, that satisfy this equation:

       n = p + 4c

where p is the product of the digits of n, while c is the result when the unit’s digit is divided by the tens digit.

(B) For what positive integer bases N< 10 do valid solutions to the above equation exist?

See The Solution Submitted by K Sengupta    
Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: Solution - Part (A) + Part(B) | Comment 6 of 7 |
(In reply to Solution - Part (A) by hoodat)

you can use the same equation for part B of the question, W instead of 10

define t=m/n and find all possible values of W<11 by solving

for t=1,2,3...9

 


  Posted by Ady TZIDON on 2007-09-18 04:32:13
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