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In an office, one-third of the workers are women, half of the women are married, and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men?

In an office, one-third of the workers are women, half of the women are married, and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men? Correct Answer 1 : 3

Suppose total number of workers = x

⇒ Number of women workers = x/3

⇒ Number of men workers = 2x/3

⇒ Number of married women = (x/3) × ½ = x/6

⇒ Number of married men = (2x/3) × 3/4 = x/2

∴ Ratio of married women to married men = (x/6) : (x/2) = 1 : 3

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