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Substitute digits for the letters to make the following
Division true
Y F Y
-----------
A Y | N E L L Y
| N L Y
----------------
P P L
P N H
----------
N L Y
N L Y
----------
0 0 0
Note that the leftmost letter can't be zero in any word.
Also, there must be a one-to-one mapping between digits and
letters. e.g. if you substitute 3 for the letter N, no other
letter can be 3 and all other N in the puzzle must be 3.
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Answer / guest
See the pattern of the Y. AY * Y = NLY i.e. Y is multiplied
by Y and the last digit of the answer is also Y. Thus, the
value of Y would be 5 or 6.
Also,
H=0 as L - H = L
P = 2N as P - N = N
L - Y = P = 2N
E - L = p
Let's find out the minimum possible values. If N=1, then
P=2, Y=5, L=7 and E=9. Note that the value of Y can not be 6
as it makes L=8 and E=10 which is not possible. Hence, Y=5,
N=1, P=2, L=7, E=9, H=0
Now, using trial-n-error or rather solving F*AY=PNH, we get
F=6 and A=3.
5 6 5 Y F Y
----------- -----------
3 5 | 1 9 7 7 5 A Y | N E L L Y
| 1 7 5 | N L Y
----------- -----------
2 2 7 P P L
2 1 0 P N H
----------- -----------
1 7 5 N L Y
1 7 5 N L Y
----------- -----------
0 0 0 0 0 0
| Is This Answer Correct ? | 2 Yes | 0 No |
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