SOLUTION: every two persons shakes hand with each other in a party and the total number of hand shakes is 66.the number of guests in party is

Question 1092322: every two persons shakes hand with each other in a party and the total number of hand shakes is 66.the number of guests in party is
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
For "n" persons the number of hand shakes with each other is   .

So, you need find "n" from the equation

= 66.

=====>   n*(n-1) = 2*66 = 132.

The only two consecutive positive integers that multiplied to 132 are 11 and 12.

So, the answer to your problem is:    The number of guests in the party is 12.

RELATED QUESTIONS
At a party , each person shakes hands with every other person .the total number of hand... (answered by rjeeva)

In a birthday party, each person shakes hand with every other person. If there was a... (answered by ikleyn)

There are 5 people in a party. If each shakes the hands of the other four, how many hand... (answered by Edwin McCravy)

There are five people in a room. Each person shakes the hand of every other person... (answered by MathLover1,greenestamps,ikleyn)

N politicians meet at party .thre are 66 way for hand shakes if each politicians shakes... (answered by ikleyn)

i have invited nine people to a party. They all shake hands with me, and each pair shake... (answered by ikleyn)

In a party there are 15members. Each shakes hand with one... (answered by ewatrrr)

There are five people in the room. Each person shakes the hand of every other person... (answered by scott8148)

If at a party every person gives a gift to each other& total number of gift taken is 132. (answered by richwmiller)