average age of family of a five members today is 36.after 3 years a person aged 75 dies and the girl is born in the same year.what is the average age of the family 5 years from today
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Answer:
Average age = 16 years
Step-by-step explanation:
Condition 1 :
average age today is
(x+y+z+a+b)/5 = 36
x+y+z+a+b = 36*5 = 180
Condition 2
after 3 years each persons age rises by 3 i.e. 5*3 =15
x+y+z+a+b+15 = 180
x+y+z+a+b = 165
Condition 3
a person of age 75 dies and a girl of age 0 is born
x+y+z+a+b = 165-75 = 90
(x+y+z+a+b) = 90
therefore average age of the family after 5 years (from today as age of each person is increased by more 2 years then 2*5=10 which is subtracted from the total)
(x+y+z+a+b)/5 = 80/5
=16 years
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