the average weight of 12 people is increased by 3 years when a person of 25 years replaced by a new man. find the age of the new man
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Answer:
86 years
Step-by-step explanation:
Before replacing we have:
average_age = sum_of_ages / 12
or sum_of_ages = 12* average_age
or sum_of_ages_of_11_persons + 25 = 12* average_age (eq1)
After Replacing we have:
new_average_age = average_age +3
average_age +3 = (sum_of_ages_of_11_people + X) / 12
or 12*average_age + 3 * 12 = sum_of_ages_of_11_people + X (eq2)
Solving the two equations:
Subtracting eq2 from eq1 :
3 * 12 = -25 + X
X = 3*12+25 = 61 years.
mohammadFirdosh:
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