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Fly Away

Math brain teasers require computations to solve.


Puzzle ID:#40215
Fun:*** (2.31)
Difficulty:*** (2.61)
Submitted By:shenqiangAcn****!!




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?

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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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Jan 26, 2008

Good but fly distracts the reader !
Jan 28, 2008

This was waaaaaaaaaaaay over my head...
Feb 06, 2008

wow, this is really good. Good job dude.
Feb 10, 2008

Dont get it
Jul 08, 2013

why should a be at most 2
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.
Jul 09, 2013

thanks spike thru 4

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