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Edgy Integral (Posted on 2009-03-25) Difficulty: 2 of 5
Solve this alphametic integral puzzle, where each of the capital letters in bold represents a different decimal digit from 0 to 9, given that C and N are constants and, E is not zero.

B
∫ C*xN dx = EDGE
A

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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computer solution | Comment 1 of 4

I used the following Mathematica code to find the only solution of

A=0 B=6 C=8 N=3 E=2 D=5 G=9

For[a=0,a9,a++,

For[b=0,b9,b++,

If[ba,

For[c=0,c9,c++,

If[ca && cb,

For[n=0,n9,n++,

If[na && nb && nc,

For[e=1,e9,e++,

If[ea && eb && ec && en,

For[d=0,d9,d++,

If[da && db && dc && dn && de,

For[g=0,g9,g++,

If[ga && gb && gc && gn && ge && gd,

x1=c*(b^(n+1)-a^(n+1))/(n+1);

x2=e+10*g+100*d+1000*e;

If[x1x2,

Print[a,",",b,",",c,",",n,",",e,",",d,",",g];

];

];

];

];

];

];];];];];];];];];


  Posted by Daniel on 2009-03-25 13:11:15
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