Bunuel
How many people attended today's lecture?
(1) A total of 83 people attended yesterday's lecture, which is 8 more than three times the number who attended today.
(2) The number of those who attended yesterday's lecture is 17 fewer than 4 times those who attended today.
We need to find the number of people who attended today’s lecture.
Statement 1:
(1) A total of 83 people attended yesterday's lecture, which is 8 more than three times the number who attended today.
Yesterday = 8 + 3*(Today)
83 = 8 + 3* Today
Today = 25
Hence,
Sufficient Statement 2:
(2) The number of those who attended yesterday's lecture is 17 fewer than 4 times those who attended today.
Yesterday = 4*Today - 17
Today = (Yesterday +17)/4
if yesterday = 3, Today =5 ;
yesterday = 7, Today =6; and
yesterday = 11, Today =7
so, the values are not unique.
Hence,
Insufficient.
Option A