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

  
Total Answers and Comments: 2 Last Update: June 18, 2008     Asked by: Anand 
  
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 Best Rated Answer
Submitted by: vunnava aswini
 
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

Above answer was rated as good by the following members:
sudhamsu, srijith62
December 06, 2007 03:04:33   #1  
vunnava aswini Member Since: December 2007   Contribution: 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

 
Is this answer useful? Yes | NoAnswer is useful 2   Answer is not useful 1Overall Rating: +1    
June 18, 2008 11:22:46   #2  
srijith62 Member Since: February 2008   Contribution: 1    

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 5ans:-a+b+c+d d+e+f+g......1 d+e+f+g g+h+i...........2 a+b+c+d g+h+i..........3from 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 0from question g+h+i 17 >0+h+i 17 >5+i 17 (from(5)) >5+i 17 >i 12i.e a 4 b 0 c 13 d 0 e+f 17 g 0 h 5
 
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