. 9. In a room there are 10 people, none of whom are older than 60 years (ages are given in whole numbers only )
but each of whom is at least 1 year old. Prove that one can always find two groups of people (with no common
person) such that the sum of ages of the people in each group is the same.
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There are two groups
sum of ages of each group is same
ages between 1year to 60 years
no repeation is allowed
they may be
group one is 10,25,30,40,50
total ages=10+25+30+40+50=155
second group is 5,15,35,45,55
whose sum=5+15+35-45+55=155
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