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Fly Away

Math brain teasers require computations to solve.

 Puzzle ID: #40215 Fun: (2.31) Difficulty: (2.59) Category: Math Submitted By: shenqiang

In the addition sum FLY+FLY+FLY=AWAY, each letter represents a different non-zero digit. What is the value of A+W+A+Y?

From the ones digits, Y+Y+Y yield Y, and Y must equal 5 (it has been stated as non-zero).
Since A is the highest digit, A is at most 2. However, because 1 is carried from the ones digits to the tens digits, A must equal 2, otherwise L will be 0. A=2 and L=7. The tens digits carry 2 to the hundreds digits, and the hundreds digits must carry 2 to the thousands digits. To avoid zero or duplicate numbers, F can only be 8 and W be 6. A+W+A+Y=2+6+2+5=15.

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 rockstar1234567 Jan 26, 2008 Good but fly distracts the reader ! bookwrmKP Jan 28, 2008 This was waaaaaaaaaaaay over my head... newton747 Feb 06, 2008 wow, this is really good. Good job dude. Holo Feb 10, 2008 Dont get it Chura Jul 08, 2013 why should a be at most 2 spikethru4 Jul 09, 2013 Chura, 3 times a single digit cannot be more than 27. There can not be more than 2 carried forward from the sum of the tens digits. The sum of F+F+F+carry, which is represented by AW, must range between 3 and 29. Hence A is at most 2. Chura Jul 09, 2013 thanks spike thru 4