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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 unitís 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: 1.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: non-analytic (spoiler) | Comment 3 of 7 |
(In reply to non-analytic (spoiler) by Charlie)

right

quick thinkers are often wrong

Analytical solution bois down to

 SOLVE

 

bm+n= mn+4m/n b us the base

substitute t=n/m and solve four times for t= 1,2,3,4

you will get al the couples m.n for b<10

 

 


  Posted by Ady TZIDON on 2007-09-17 12:48:34
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