Substitute each of the small letters in bold by a different decimal digit from 0 to 9 to satisfy this alphametic equation:

(one)/(five) = .two

where, none of o, f and t is zero, and the 3-digit number represented by two is even.

Note: Try to derive a non computer-assisted solution, although computer program/spreadsheet solutions are welcome.

For those that wish to try for a solution using an analytical approach, here is a start:

The equation (one)/(five) = .two may also be expressed as
        five
two ) one000

• As o is given as not zero but even, it is deduced that e must represent the digit 5 as only multiples of 5 or 0 will result in a final digit of 0. In addition o must be 2, 4, 6 or 8.
• It is also evident that t < o since one000 divided by the three digit number, two, is a four digit number, five.

Posted by Dej Mar on 2008-11-24 22:25:31