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Or look at the question first!
 Let's have a look at the given equations once again.
1   1   1   1    =  R
 
2  2   2   2   =  T
3  3   3   3   = E
4  4   4   4   = N
If rewritten after adding numbers & addition is spelled then,
1   1   1   1    =  FOUR
  
 
2  2   2   2   =  EIGHT
3  3   3   3   = THREE
 4  4   4   4   = SIXTEEN
 Clearly, last letter of spelling is taken.
Hence,
5  5  5  5 = TWENTY
5  5  5  5 = Y  
 
 
 
 
What was the wrong?
All we need to do is move 'this' pointed match stick.
Now it looks like - 
This is now correct equation. Isn't it?
 
 
 
 
Here is that sequence!
Looking at the special sequence once again.
8 5 4 9 1 7 6 10 3 2 0
If they are spelled as in sequence -
Eight   Five   Four   Nine   One   Seven   Six   Ten   Three   Two   Zero 
Yes, you got it right. They are in an alphabetical order.
 
 
 
 
A hiker comes across an intersection where three roads cross. He looks 
for the sign indicating the direction to his destination city. He finds 
that the pole carrying three city names and arrows pointing to them has 
fallen. He picks it up, considers it, and pops it back into place, 
pointing out the correct direction for his destination. How did he do 
it?
This is how he did it!
 
 
 
 
What was the dilemma? 
Since he knew very well from which city he came; he just oriented that arrow in right direction. And obviously hence rest of all arrows are pointed in the right directions as well. This is how he found his right way!