perplexus.info :: Just Math : Same Count, Same Sum

Same Count, Same Sum (Posted on 2015-01-06)

M and N are two distinct positive integers such that:

(i) M and N has the same number of digits, and:
(ii) Each of the sum of the digits of M and N is equal to 32.

Can M be a multiple of N?

If so, give an example.
If not, prove it.

*** Neither M nor N can contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

M can never be a multiple of N.
For an explanation, refer to the solution submitted by xdog in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	spoiler	xdog	2015-01-06 14:21:57

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