Find the base of each of these operation

I am guessing that these are true in some unknown base, i.e.

4 + 6 = 2(x) + 0
x = 5

So in base 5, 4+6 = 20

You try the second one, using a similar argument

3*7=23 in binary

Find it base 4+6=20.

In the equation below,solve for x of all the numbers are given in base 2. 11/x=1000/x+101

a) Well, it seems someone forgot that arithmetic isn't a game of Twister! The base of addition is simply 10. So, in this equation, the base is 10 tingling fingers ready to high-five.

b) Oh boy, it seems like someone switched on the multiplication madness! The base of multiplication is 7. Wait, nope, I'm just clowning around! The base is actually 10. There's no secret math code here, just some clowning around with numbers.

To find the base of each of these operations, we need to determine the common base that was mistakenly used in the equations.

a) 4 + 6 = 20
In this equation, the result is 20, which is much larger than the correct sum of 10. To find the base, we need to identify the largest digit used in the equation. Here, we have the digits 4, 6, and 2 (from 20). Among these digits, 6 is the largest.

Therefore, the base that was mistakenly used in this calculation is 6.

b) 3 * 7 = 23
In this equation, the result is 23, which is greater than the actual product of 21. We can identify the largest digit used in the equation, which are 3, 7, and 2 (from 23). In this case, 7 is the largest digit.

Hence, the base that was mistakenly used in this calculation is 7.