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Math brain teasers require computations to solve.

 

Puzzle ID:#40215
Fun:*** (2.31)
Difficulty:*** (2.61)
Category:Math
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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Answer

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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Comments

rockstar1234567Aca*
Jan 26, 2008

Good but fly distracts the reader !
bookwrmKPAus*
Jan 28, 2008

This was waaaaaaaaaaaay over my head...
newton747
Feb 06, 2008

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

Dont get it
Churang*
Jul 08, 2013

why should a be at most 2
spikethru4*au*
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.
Churang*
Jul 09, 2013

thanks spike thru 4

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