perplexus.info :: Just Math : Distinct Values Validation

Distinct Values Validation (Posted on 2014-10-16)

Each of x, y and z is a nonnegative integer such that:

(i) x+y+z = 94, and:
(ii) H = 4x+10y+19z

How many distinct values of H is possible?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Alternative formulation, while it had been in the queue

| Comment 4 of 8 |

When this was originally proposed in the queue it had been presented as possible tower heights buildable from 94 bricks each with the three dimensions 4, 10 and 19.

I don't recall the wording exactly, but somehow had the impression that it was not necessary to use all 94 bricks.

That presents another variation of this puzzle: where x + y + z <= 94, rather than strict equality.

Posted by Charlie on 2014-10-16 10:52:31

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