476,083 views
1 vote
1 vote
There is a number system in which the following two equalities are both true at the same time. What is that base? Please find it ASAP.

HERE is the equalities:
2+3=5 AND 2*3=11

User Jpgeek
by
3.1k points

1 Answer

19 votes
19 votes

Answer:

Impossible

Explanation:


2_b * 3_b=11_b \\ \\ 2_(10) * 3_(10)=(b+1)_(10) \\ \\ 6=b+1 \\ \\ b=5

However, since
5_5 is not allowed, this violates the first equation.

User Dmitriy Likhten
by
3.1k points