Question

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

Answer 1

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.