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Send More Money
Date: 05/12/97 at 17:23:48
From: Shay
Subject: Send more money
SEND
+ MORE
------
MONEY
Hint:
SEND
+ MOR5
------
10N5Y
Each letter represents a digit. If one letter is a certain number
then all those letters equal that number. What are the values of each
letter?
Date: 05/16/97 at 18:32:20
From: Doctor Spunk
Subject: Re: Send more money
I'm assuming that each digit (0-9) can be represented by only one of
the letters. From what you have given, right now we have:
SEND
+MOR5
-----
10N5Y
Since M = 1, O = 0, and E = 5, that simplifies things a bit. (One
could figure this out without your hint, but it would be a little more
complicated.)
S must = 9 because of its location and the final answer is in the ten
thousands.
Now we have:
95ND
+10R5
-----
10N5Y
Now to solve for N. In the hundreds position, 5+0 = N and we know
E = 5. There must be a carryover from the tens position, so N = 6.
Using the same sort of logic, R = 8.
The result so far is:
956D
+1085
------
1065Y
Now for D. D could be any integer from 0-9. It can't be 1,5,6,8,9,0
because they have been used. It can possibly be 2,3,4,7.
We reason that D is greater than 5 because the tens column needs a
carryover, therefore D = 7, which means Y = 2.
-Doctor Spunk, The Math Forum
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