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a+b+c=13
c+d+e=13
e+f+g=13
g+h+i=13
find the value of e.
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Answer Posted / rohit parimal
a+b+c=13 - eq 1
c+d+e=13 - eq 2
e+f+g=13 - eq 3
g+h+i=13 - eq 4
we will add all the equations
a+b+c+c+d+e+e+f+g+g+h+i=52 - eq 5
a+b+c+d+e+f+g+h+i+(c+e+g)=52
as the numbers are from 1 to 9
the addition of nine numners from 1 to 9 is 45.
so
a+b+c+d+e+f+g+h+i=45 -eq 6
Putting the value from eq 6 in eq 5
45+c+e+g=52 - eq 7
c+e+g=7 - eq 8
eq 2 says c+d+e=13
Subtracting eq 8 from eq 2
c+d+e-c-e-g=13-7
d-g=6 - eq 9
when we put value 4 in g then the value of d should be 10.
Objction.
So value of g is 1 or 2.
eq 3 says e+f+g=13
When we put the vaue of g as 1 then f should be 8 and e
should be 4.
When we put the value of g as 2 then f should be 9 and e
should be 2.Objection (because no two alphabets can be
same.)
| Is This Answer Correct ? | 18 Yes | 3 No |
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