Send More MoneyDate: 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 Check out our web site! http://mathforum.org/dr.math/ |
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