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A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number..............

+1 vote
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A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number and the second student knows the second number. The following exchange takes place:
First: I do not know your number.
Second: Neither do I know your number.
First: Now I know.
What are the 4 solutions of this easy number puzzle?

posted Oct 14, 2014 by Pardeep Kohli

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0 votes

This is definitely one of the harder number puzzles on this site.
A teacher says: I'm thinking of two natural numbers greater than 1. Try to guess what they are.
The first student knows their product and the other one knows their sum.
First: I do not know the sum.
Second: I knew that. The sum is less than 14.
First: I knew that. However, now I know the numbers.
Second: And so do I.
What were the numbers?

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Sam: I don't know what the numbers are Pete.
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Sam: In that case, I do know the numbers.

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Fill in the boxes with numbers from 1-10. One number can be used only once.

enter image description here

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Find three number such that?

  • When we multiply three numbers, we will get prime number.
  • The difference between second and the first number is equal to third and second.
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