Z is a 6-digit number comprised of 6 different digits.
2Z, 3Z, 4Z, 5Z and 6Z are each made up of the
same 6 digits. (6Z<1,000,000)
Z = ?
2007-03-21 21:19:03 · 2 answers · asked by blighmaster 3 in Science & Mathematics ➔ Mathematics
Z = 142857
2Z= 285714
3Z= 428571 AND SO ON....
By the way, Z = 1/7
If you care about the algebra, here it is:-
Let the digits be a,b,c,d,e and f.
:. the no. is 100000a+10000b+1000c+100d+10e+ f = x
Also, 100000b+10000c+1000d+100e+10f+ a = 2x
and 100000c+10000d+1000e+100f+10a+ b = 3x
You get six such equations.
But, for all we know,
100000c+10000d+1000e+100f+10b+ a = 2x
After a lot of multiplication and substitution and elimination, you may get the answer.
Tough Time if you don't straightaway know the answer.
2007-03-21 21:29:41 · answer #1 · answered by Anonymous · 2⤊ 0⤋
I happen to know that the answer is 142857, but I've no idea how you'd work it out.
2007-03-22 04:30:40 · answer #2 · answered by Gnomon 6 · 0⤊ 0⤋