• The same letter is substituted by the same digit.
• Different letters are substituted by different digits.
• No number can contain any leading zero.
It is known that each of the numbers FOUR and FIVE is a perfect square.
Furthermore, it is known that the each of the numerical answers to the undernoted queries is constituted entirely by the digits 4 and 5.
• (a) How many squares are strictly between FOUR and FIVE?
• (b) What is one-tenth of TEN - FIVE + FOUR?
• (c) What is the lowest positive integer that must be added to TEN to make it a perfect square?
Determine the value of FORTUNE.
Source: Adapted from Enigma #674 that appeared on "New Scientist" in 1992.
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