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Question:  A+B+C+D=D+E+F+G=G+H+I=17 AND IF A=4 FIND THE VALUE OF G&H?



December 12, 2007 03:04:33 #1
 vunnava aswini   Member Since: December 2007    Total Comments: 2 

RE: A+B+C+D=D+E+F+G=G+H+I=17 AND IF A=4 FIND THE VALUE OF G&H?
 
G=0 & H=5

ans:-a+b+c+d=d+e+f+g......1
         d+e+f+g=g+h+i...........2
         a+b+c+d=g+h+i..........3
from 1:-a+b+c=e+f+g...........(A)
from2:-d+e+f=h+i.................(B)
        
          =>a+b+c+d-g=17
          =>b+c+d-g=17-4=13.....4
      
          also a+b+c=e+f+g
                  a+b+c=g+h+i-d
                  a+b+c+d-g=17
 solve 1&4

            a+b+c+d   =17
                b+c+d-g=13
            ............................
               a+g           =4
             ...........................
          =>g=0

    h+i=17
  =>d+e+f=17
 =>d+a+b+c-g=17
  =>d+4+b+c=17

=>  b+c+d      =13
       2b+c+d-h=8   
  ...........................
       -b+h         =5
...............................
=>b=h-5.......(5)

from (A) &(B):e+f+g=d+e+f
                      =>g=d
                      =>d=0
from question g+h+i=17
                   =>0+h+i=17
                   =>5+i=17                     (from(5))
                   =>5+i=17
                   =>i=12

i.e a=4,b=0,c=13,d=0,e+f=17,g=0,h=5
     

 

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