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?

(In reply to re: Simplified, no solution by Ady TZIDON)

I didn't have time to trying finding solutions but I figured it wouldn't be hard to find the solutions and then weed out the overlap.  Having tried a bit to do so, I can see this isn't so easy even with the simplification.

So yes I agree, program is the way to go and using one doesn't require my trick. 

I tried reducing the total from 94 to something more reasonable but there doesn't seem to be a simple formula.

Posted by Jer on 2014-10-17 09:47:23