Quizz time III 100

Question

This one about digits.
we have nine digit : 1,2,3,4,5,6,7,8,9
arrange them to become addition of integer and fraction that always result 100.

ex:
3 + (69258/714) = 100
82 + (3546/197) = 100

there are more like the example. Can you find the rest (more than eight i guess) ?

You are free to use any tool.

Answer 1

Used Java. Here are all the possibilities.

3 + 69258 / 714
81 + 5643 / 297
81 + 7524 / 396
82 + 3546 / 197
91 + 5742 / 638
91 + 5823 / 647
91 + 7524 / 836
94 + 1578 / 263
96 + 1428 / 357
96 + 1752 / 438
96 + 2148 / 537

Thank you @Agus. Great Puzzle!

Answer 2

@Agus Mei wait, erm... couple hours and I`ll give you all of them...

Answer 3

Tried to make count not only for / but for +, - and *.
But stopped on variant with / only.
https://code.sololearn.com/caC6CktZYT9T/?ref=app

+Writes all answers to txt file.

Answer 4

@Sweet Emotion
You are really fast, but i make this time a little bit hard. 😁

it should always be x+(y/z).

Answer 5

@Sweet Emotion
it took me a month to found 5
and 2 more week to found the other 3
i believe there is one more that i miss.
so totally there are 10 or 11 arrengement.

hint:
there are 2 digit integer in the front like this:

94 + (1578/263) = 100

Answer 6

@Nicolay Sir
1. it should always be (x+y/z)
2. it is division

i am happy to have you here.😄😄😄

Answer 7

Got 4

1+2+3+5+4*6-7+8*9 = 100
(2+5+7+3*6-4+8*9)/1 =100
1+2+3-4+5+6+78+9 =100
(-2-3-4-5+6*7+8*9)/1=100

Edit: Oh wait. I spent 30 mins getting the wrong solutions? Damnit >_<

Answer 8

@Illusive Man
nice to have you here.

Answer 9

@Krishna Sir
you are great !

Answer 10

questions:
1. should it always be ( x + y / z ) or could be ( a / b + d / c ) or ( a + b + c / d ) ?
2. is / floor division or division ?

Answer 11

@Sweet Emotion
Take your time.

Answer 12

@Agus. I'll try again after dinner haha :)

Answer 13

Woah man. The permutations are endless on this one. This one is not exactly x+(y/z) but it's the closest I could manage :

[-2+4*3+5]+[6+7+8*9]/[1]

Answer 14

@Agus Thanks for the hint. I'll try writing up a code for it.

Answer 15

i'm on it too! 😎

Answer 16

I have done it. Will post as soon as I get it onto mobile. Cheers.

All answers have a slight tolerance of being from 99 to 101unfortunately because of int datatype.

A few examples are:
93 6215 784
78 6513 294
87 6923 514

Answer 17

@krishna Could you post your code here please. I've been trying in C++ for some time. Got an answer that isnt perfect. Would love to see how you did it

Answer 18

This isnt perfect. It's close. I'll work on it. Anyway, for now, here it is
https://code.sololearn.com/ckTJIrzUFt5C/?ref=app

Answer 19

Here is the code. It won't completely run in code playground though.
https://code.sololearn.com/c10BAhXfFGbP/?ref=app

Answer 20

Thanks. I would appreciate it a lot if you could look into where I went wrong. I was trying to replace int x with double x and 100 with 100.000 but it just gives me the same result. I cant seem to find the reason I'm not getting it. Maybe it's trivial but I'm certainly gonna lose sleep over it lol.