In the small hamlet of abaze, two base systems are in common use. also, everyone speaks the truth, and no one changes which base they are using in mid-sentence. one resident said, "26 people use my base, base 10, and only 22 people speak base 14." another said, "of the 25 residents, 13 use both bases and 1 can't use either base." how many residents are there? (use base 10, please!)

Respuesta :

alright, "of the 25 residents", bingo, we have it, 25
wait, 26 people use my base?, wat

ok, so um

anyway, 13 use both, so 13 of the 26 using base 10 are also in the 22 using base 14
so
26+22-13=35 people using bases
and then there is 1 resident not using anything
35+1=36

36 residents



wait, we had 'of the 25 residents, 13 use both and 1 can't use either'
what happened to the other 11, maybe they are using one or the other?

I say 36 residents