the mean age of combined group of men and women is 35. if the mean age of men is 36 years and that of women is 32 years.find the percentage of men and women
Answers
Answer:
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Step-by-step explanation:
solution :
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[x is the total number of men ]
[y is the total number of women ]
by the formula of mean
mean = sums of all number / how many numbers there
according to question
( sums of age of men + sums of age of women ) / (x+y) = 35
sums of ages of men + sums of age of women = 35x + 35y ............(1)
&
(sums of ages of men)/x = 36
sums of age of men = 36x ...........(2)
(sums of ages of women)/y = 32
sums of age of women = 32y ...........(3)
substituting the value of equation 2 & equation 3 in equation 1,
we have
36x + 32y = 35x + 35y
x= 3y
therefore the percentage of men = {x/(x+y)}*100
= (3y/4y)*100
=75%
and the percnetage of women = (100-17)%
=25%
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