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Twice true (Posted on 2011-03-24 )

LIX+LVI=CXV ; X*X=C
The above equations are true both as Roman expressions and as alphametics, where each letter denotes Arabic numeral.
What is the unique solution?

Submitted by Ady TZIDON
Rating: 4.5000 (2 votes)
Solution:
(Hide )
Clearly, X=3, so C=9.
So, L = 4. and I+V=13 & V-I=3.
Summing those 2 equations we get I=5 and V=8.
The answer therefore is 453+485=938.
Detailed explanation: see all the posts.

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