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Two-thirds of the members of a committee are women, one-fourth of the male members of the committee are married. If there are 9 bachelors in the committee, how many members are there altogether?

ANSWER : 4

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Let, Member = xnow, Women =&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>3</mn></mfrac></math>, &nbsp;Men = 1 -&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>3</mn></mfrac></math>&nbsp;=&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac></math>Married Men =&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>×</mo><mfrac><mi>x</mi><mn>3</mn></mfrac></math>&nbsp;=&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>12</mn></mfrac></math>Bachelors =&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac></math>&nbsp;-&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>12</mn></mfrac></math>&nbsp;=&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>4</mn></mfrac></math>According to question,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>4</mn></mfrac></math>&nbsp;= 9&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; X= 36Total members of the committee = 36 (Ans)

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