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IRINA_888 [86]
3 years ago
5

GUESS!

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

The three numbers are 6, 7 and 9

<u>Explanation:</u>

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • 523 - All digits are wrong
  • 286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

  • 1_7 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 96_ - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6  _  9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9

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