perplexus.info :: Just Math : Quaint Quadruplets

Quaint Quadruplets (Posted on 2014-08-18)

Determine the total number of quadruplets (A, B, C, D) of positive integers such that:

A divides B, and:
B divides C, and:
C divides D, and:
A+B+C+D=4200

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are 367 such quadruplets.
For an explanation, refer to the solution submitted by Charlie in this location.
if a, b, c and d were required to be unique (no repeated integer), then there are 95 such quadruplets . This has been succinctly explained by Charlie in this location.

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

Subject	Author	Date
re: software solution--similar puzzle solution	Charlie	2014-08-19 10:03:12
software solution	Charlie	2014-08-18 20:58:28
hard ro count manally	Ady TZIDON	2014-08-18 16:56:16

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