### Brain Teasers

# Fly Away

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?

### Hint

They are NON-ZERO digits.### 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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