The average age of 45 persons is decreased by $1/9$ year when one of them of 60 years is replaced by a new comer. Then the age of the new comer is :
Options:
A .  55 years
B .  45 years
C .  49 years
D .  59 years
Answer: Option A Answer: (a)Reduction in total age of 45 persons = 45 × $1/9$ Age of the new person = 60 – 45 × $1/9$ = 55 years Aliter : Using Rule 23, ( If in a group, one member is replaced by a new member, then, Age of new member = ( age of replaced member) ± xn where, x = increase (+) or decrease (–) in average n = Number of members. )Age of new corner = Age of replaced member – xn = 60 – 45 × $1/9$ = 60 – 5 = 55 years
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