All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Empty or fool ?? (Posted on 2016-09-01)
If each of the of the bolded letters represents uniquely a different digit in base 10 alphametic:
PY*MY = EEE

(order of answering 1. & 2. is important! )

1.What is the minimal value of E*M*P*T*Y ?

2. Now solve the alphametic.

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 solution Comment 1 of 1
At first glance, solving 1 without reference to starting to do 2, would have us say the minimal value is zero, if one of the factors is zero.

Based on the alphmetic, we know that only T can be zero, but since it can, then the minimal value of E*M*P*T*Y is then zero.

What can EEE be? Let's factor the possibilities:

111 = 3 * 37, not suitable for the alphametic
222 = 2 * 3 * 37; ditto
333 = 3 * 3 * 37; again the same
444 = 2 * 2 * 3 * 37; 12 * 37 doesn't have the requisite matching units digits
555 = 5 * 3 * 37; 15 * 37 also doesn't
666 = 2*3*3*37; 18 * 37 alsoo
777 = 7 * 3 * 37; likewise 21 * 37
888 = 2*2*2*3*37; 24*37, the same problem
999 = 3 * 3 * 3 * 37; aha! 27*37 = 999 is the solution to the alphametic, or of course 37*27 = 999.

This doesn't affect part 1, as T can still be zero.

 Posted by Charlie on 2016-09-01 12:57:44

 Search: Search body:
Forums (0)