YOU ARE ONE MEN AND MEET GROUP OF PEOPLE ,THEN YOU SAY TO THEM "YOU ARE HUNDRED " THEN THEY REPLY "WE ARE NOT" AND THE TELL YOU THAT IF YOU WANT KNOW THE NUMBER THEY ARE YOU HAVE TO (ADD HALF THE NUMBER THEY ARE AND THE NUMBER THEY ARE AND YOU ) THEY WILL BE HUNDRED .THE QUESTION IS THAT HOW MANY THE NUMBER OF THE PEOPLE YOU MET THEY ARE?

Question

YOU ARE ONE MEN AND MEET GROUP OF PEOPLE ,THEN YOU SAY TO THEM "YOU ARE HUNDRED " THEN THEY REPLY "WE ARE NOT" AND THE TELL YOU THAT IF YOU WANT KNOW THE NUMBER THEY        ARE YOU HAVE TO (ADD HALF THE NUMBER THEY ARE AND THE NUMBER THEY ARE AND YOU ) THEY WILL BE HUNDRED .THE QUESTION IS THAT HOW MANY THE NUMBER OF THE PEOPLE YOU MET THEY ARE?

ajprincess · Answer

Let the number of people be x.
Then 
$\Large\frac{x}{2}+x+1=100$
Solve for x.