1. The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members?
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By: anil on 05 May 2019 01.48 am
Average age of 120 members of the society = 60.7 years => Total age of 120 members = $$120 imes60.7=7284$$ years Let the average age of 30 new members = $$x$$ years => Total age of the 30 members = $$30x$$ years According to ques, new average = 56.3 years => $$frac{7284+30x}{(120+30)}=56.3$$ => $$7284+30x=56.3 imes150=8445$$ => $$30x=8445-7284=1161$$ => $$x=frac{1161}{30}=38.7$$ => Ans - (D)
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