Math riddle

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Neither do I know your number.
A: Now I know.

There are four solution for this.What are they ??
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My answer an reasoning
A = 2 B=3
A=9 B=8
(i.e: two solutions - I cannot find 4?)
If A has 2 then B has either 1 or 3 BUT if B had 1 then he would know A's number as they are consecutive: hence A=2, B=3
The same logic applies for 9,8

How are there for solutions and what are they?

Reply 1

geetar

16

The answer is 1. The answer in maths problems is always 1. Always.

Reply 2

amineamine2

14

Original post by jsmith6131

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Neither do I know your number.
A: Now I know.

There are four solution for this.What are they ??
-----------
My answer an reasoning
A = 2 B=3
A=9 B=8
(i.e: two solutions - I cannot find 4?)
If A has 2 then B has either 1 or 3 BUT if B had 1 then he would know A's number as they are consecutive: hence A=2, B=3
The same logic applies for 9,8

How are there for solutions and what are they?

A:3, B must have 2 or 4. If 2, B would have knew the answer already, because A said he doesn't know so it can't be 1? A knows B doesn't know so he knows it isn't 2. So it's 3 and 4.

okay one more to go.

Edit: Reading over my answer, I don't think I have been very clear in my reasoning lol.