Question

Find seven, positive, all different, whole numbers
x1,x2,x3,x4,x5,x6,x7
such that
1/x1+1/x2+1/x3+1/x4+1/x5+1/x6+1/x7=1

Answer 1

i got the answer by intution, but mathematics doesnt accept it
so plz gimme a procedure for such kindaa problems

Answer 2

i got the question online
there solution is also there
i want a different one coz it looks ugly.
and i thought the question is good so I put it up

Answer 3

http://www.google.com/search?q=1%2F2%2B1%2F4%2B1%2F8%2B1%2F16%2B1%2F32%2B1%2F64%2B1%2F128&ie=utf-8&oe=utf-8&client=ubuntu&channel=fs

My intitution :P

Answer 4

no
there is an exact answer
i just want the procedure man.
if u want i'll tell u how i got to the answer. but its no procedure

Answer 5

How about \[ 1= \frac 12 + \frac 12 \] and then \[ 1= \frac 13 + \frac 1 6 + \frac 12 \] and then something like this ...

Answer 6

ya i got the same way
but i want a procedure
say if i am asked to split x among y rational nubers what should i do?

Answer 7

Btw the interesting question is "how many ways we can write 1 as a sum of X unique reciprocal numbers?"

Answer 8

what's wrong using this there too?

Answer 9

i dunno i get this feeling that , this is no procedure. just an arbit guess which is fruitful