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T W O
x T W O
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T H R E E
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In the following multiplication, each letter represents a digit (with same letters representing the same digits).What is the actual multiplication?
Daer Sathyaram,
E must be even.
E = (0,2,4,6,8)
squares end in 0,1,4,5,6, and 9.
but if E = 0, O must be 0, too, but E =/= O.
so E = 4.
O = 2 or 8.
T must be 1, because 1^2 = 1.
W < 5.
1HR44 = (1W2)^2 or (1W8)^2
Thus answer:
T = 1, W = 3, O = 8, H = 9, R = 0, E = 4
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