Guest Posted November 4, 2009 Report Share Posted November 4, 2009 (edited) Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 to satisfy each of the following alphametic relationships: (i) EEN is a perfect square, and: (ii) VIER is a perfect square, and: (iii) NEGEN is a perfect square. Edited November 4, 2009 by K Sengupta Quote Link to comment Share on other sites More sharing options...
0 HoustonHokie Posted November 4, 2009 Report Share Posted November 4, 2009 E = 0 N = 4 G = 8 V = 2 I = 6 R = 1 EEN = 004 = 2*2 VIER = 2601 = 51*51 NEGEN = 40804 = 202*202 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 4, 2009 Report Share Posted November 4, 2009 (edited) I am not sure this is the only one but .. EEN=441 21^2 VIER=3249 57^2 NEGEN=14641 121^2 E=4 N=1 V=3 I=2 R=9 G=6 Edit: without leading zero this is the only one I could find. Edited November 4, 2009 by stewdeker Quote Link to comment Share on other sites More sharing options...
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Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 to satisfy each of the following alphametic relationships:
(i) EEN is a perfect square, and:
(ii) VIER is a perfect square, and:
(iii) NEGEN is a perfect square.
Edited by K SenguptaLink to comment
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