How many beings in total from either planet was present in the summit?

Let’s assume that there are “m” Martians and “e” Earthlings present at the summit.

According to the puzzle, the number of legs for each Martian is two, which means the total number of legs for the Martian delegation would be 2m. Similarly, the total number of legs for the Earthling delegation would be 2e.

Now, let’s assume that the number of fingers on each Martian hand is “f”, and the number of fingers on each Earthling hand is “g”. Since the puzzle states that the Martians do not have the same number of fingers as Earthlings, we know that f is not equal to g.

Therefore, the total number of fingers for the Martian delegation would be 2mf, and the total number of fingers for the Earthling delegation would be 2eg.

The puzzle also states that there were six more Martians than Earthlings present at the summit. So, we can write the following equation:

m = e + 6

Finally, the puzzle says that the total number of fingers and toes for the Martian delegation was one fewer than the total number of fingers and toes for the Earthling delegation. In other words, we have:

2mf + 2m = 2eg + 2e – 1

Simplifying the above equation, we get:

2m(f + 1) = 2e(g + 1) – 1

Substituting m = e + 6, we get:

2(e + 6)(f + 1) = 2eg + 2e – 1

Expanding the above equation and simplifying, we get:

6f – 11g = 23

Now we need to find a pair of values for “e” and “m” that satisfy the above equation.

After some trial and error, we can see that if we let e = 23 and m = 29, then the equation 6f – 11g = 23 is satisfied.

Therefore, the total number of beings present at the summit would be:

m + e = 29 + 23 = 52.