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# Easy Savoury

### #11

Posted 17 November 2007 - 11:55 PM

### #12

Posted 01 December 2007 - 01:06 AM

### #13

Posted 04 December 2007 - 01:06 AM

2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9

### #14

Posted 17 December 2007 - 02:46 AM

The only possible numbers A could have and be certain of B's number are 2, 3, 8, and 9.

If A had any of 4, 5, 6, or 7, then he would not be certain of B's number.

### #15

Posted 17 December 2007 - 09:29 PM

### #16

Posted 20 December 2007 - 09:19 PM

### #17

Posted 18 February 2008 - 08:22 AM

Easy Savoury- Back to the Number Puzzles

A teacher thinks of two consecutive numbers between 1 and 10 (Edit: 1 and 10 included). The first student knows one number and the second student knows the second number. The conversation of the students is as follows:

First: I do not know your number.

Second: Neither do I know your number.

First: Now I know.

Will you find all 4 solutions?

First: 3 Second: 4

First: 2 Second: 3

First: 8 Second: 7

First: 9 Second: 8

### #18

Posted 30 October 2008 - 08:10 PM

Since the first child does not know the other's number, he does not have a 1 or a 10. (Or he would know the other student's number would be 2 or 9 respectively.

Now the second child knows that the first child does not have a 1 or a 10, he knows that if he has a 2 or a 9 then the other child must have a 3 or an 8, respectively. He says he does not know, so therefore he does not have a 1, 2, 9 or 10.

The first child now knows that the second child does not have a 1, 2, 9 or 10, and we know that the first doesn't have 1 or 10. The only way the first child would know the answer at this point is if he has a 2, a 3, an 8 or a 9.

Explanation:

If child 1 has a 2: Child 2 does not have 1(discovered earlier) or 2(I have it), the only other consecutive number is 3.

If child 1 has a 3: Child 2 does not have a 2(discovered earlier) or a 3(I have it), the only other consecutive number is 4.

If child 1 has an 8: Child 2 does not have a 9(discovered earlier) or an 8(I have it), the only other consecutive number is 7.

If child 1 has a 9: Child 2 does not have a 10(discovered earlier) or a 9(I have it), the only other consecutive number is 8.

Therefore the only possible answers are:

2 and 3

3 and 4

7 and 8

8 and 9

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