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Can you replace each alphabet with the number (1 - 9) to make below equation correct ? AB * C = DE - F = GH / I

+1 vote
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Can you replace each alphabet with the number (1 - 9) to make below equation correct ?

AB * C = DE - F = GH / I

posted Dec 14, 2016 by Divya Bharti

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2 Answers

+3 votes

AB * C = DE - F = GH / I ===> (39*1 = 45-6 = 78/2) = 39.

answer Dec 15, 2016 by Tejas Naik
Congratulations Mr Tejas Naik.. may I know how u solve it?
v4vkky@gmail.com **********
I used the following brute force C code.
#include<stdio.h>
#include<math.h>
int main()
{
    int a,b,c,d,e,f,g,h,i;
   
    for(a=1;a<10;a++)
    {
        for(b=1;b<10;b++)
        {
            for(c=1;c<10;c++)
            {
                for(d=1;d<10;d++)
                {
                    for(e=1;e<10;e++)
                    {
                        for(f=1;f<10;f++)
                        {
                            for(g=1;g<10;g++)
                            {
                                for(h=1;h<10;h++)
                                {
                                    for(i=1;i<10;i++)
                                    {
                                        if((((a*10)+b)*c)==(((d*10)+e)-f)&&(((d*10)+e)-f)==float(((g*10)+h)/i))
                                        {
                                            if(a!=b&&a!=c&&a!=d&&a!=e&&a!=f&&a!=g&&a!=h&&a!=i&&b!=c&&b!=d&&b!=e&&b!=f&&b!=g&&b!=h&&b!=i&&c!=d&&c!=e&&c!=f&&c!=g&&c!=h&&c!=i&&d!=e&&d!=f&&d!=g&&d!=h&&d!=i&&e!=f&&e!=g&&e!=h&&e!=i&&f!=g&&f!=h&&f!=i&&g!=h&&g!=i&&h!=i)
                                            printf("%d%dX%d = %d%d - %d = %d%d/%d\n",a,b,c,d,e,f,g,h,i);
                                   
                                        }
                                    }
       
                                }
       
                            }
       
                        }   
       
                    }       
       
                }
       
            }
       
        }   
    }

   
   
   
}
+1 vote

(39*1 = 45-6 = 78/2) = 39.

answer Sep 13, 2017 by Mogadala Ramana



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