Question

the mean age of combined group of men and women is 30.5 years if the mean age of men is 35 and that of women is 25 find out the percentage of men and women in the group​

Answer 1

Answer:

Mens =55%, womens =45%

Explanation:

Answer 2

Given,

The total mean age of both = 30.5 years

mean age of men = 35 years

mean age of women = 25 years

Suppose,

no. of men= m

no. of women= w

soiving the equation,

30.5 (m+w)= 35m+ 25w

30.5m + 30.5w = 35m + 25w

30.5w-25w= 35m-30.5m

5.5w=4.5m

now,

$\frac{w}{m}= \frac{5.5}{4.5}$

w/m= 11/9

same vice versa,

$\frac{m}{w} =\frac{9}{11}$

now the percentage of men in the group

$\frac{m}{m+w}$

% of men = $\frac{9}{9+11}$

$\frac{9}{20}* 100%$

45%  of men

now the percentage of women in the group

$\frac{w}{w+m}$

$\frac{11}{11+9}$

% of women=$\frac{20}{11}$

55%  of women

the final answer is the percentage of men is 45% and of women is 55%

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