Total employees = 100
Average age = 29 years
\[ \text{Total Age} = 100 \times 29 = 2900 \]
Number of ladies = \( \frac{2}{5} \times 100 = 40 \)
Number of men = \( 100 - 40 = 60 \)
Ratio of average age of men : women = 5 : 7
Let average age of men = \( 5x \)
Average age of women = \( 7x \)
Total age equation:
\[ 60(5x) + 40(7x) = 2900 \]
\[ 300x + 280x = 2900 \]
\[ 580x = 2900 \]
\[ x = 5 \]
Average age of women:
\[ 7x = 7 \times 5 = 35 \]
Correct Answer: Option B
মোট কর্মচারী = 100
গড় বয়স = 29 বছর
\[ \text{মোট বয়স} = 100 \times 29 = 2900 \]
মহিলা কর্মচারী = \( \frac{2}{5} \times 100 = 40 \)
পুরুষ কর্মচারী = \( 100 - 40 = 60 \)
পুরুষ : মহিলার গড় বয়সের অনুপাত = 5 : 7
পুরুষদের গড় বয়স = \( 5x \)
মহিলাদের গড় বয়স = \( 7x \)
মোট বয়সের সমীকরণ:
\[ 60(5x) + 40(7x) = 2900 \]
\[ 300x + 280x = 2900 \]
\[ 580x = 2900 \]
\[ x = 5 \]
মহিলাদের গড় বয়স:
\[ 7x = 7 \times 5 = 35 \]
সঠিক উত্তর: Option B
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