A Warm Farewell


 A Warm Farewell:-

At a train station, the Porter family is saying good-bye to
the Robinson family. We don't know who is leaving and who
is staying.

Each of the members of the Porter family says farewell to
each of the members of the Robinson family. To say good
bye, two men shake hands, and both a man and a woman
and two women kiss once on the cheek.
An eyewitness to the event counted 21 handshakes and
34 kisses. 
.
How many men and how many women were saying
good-bye ??


Orientation:-

1)First find the total number of members in each family by adding the handshakes and kisses

21+34=55 interactions and then find the factors of 55 ie 5* 11, 55* 1.

55 * 1 is not possible hence there are 5 members in one family and 11 members in another family.

2) Using the same logic find the no of mens in each family with 21 handshakes.

3) Use 1 and 2 to find the number of women in each family

4) Give the total number of men and women based on 2 and 3.


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