The ratio of male to female workers in two companies $A$ and $B$ is $13 : 10$ and $7 : 5$, respectively. If both the companies have the same number of female workers, then what is the ratio of the total number of workers in $A$ to those in $B$?
Detailed Explanation:
Company A has male : female = 13 : 10, and company B has male : female = 7 : 5. Since both companies have the same number of female workers, equalize the female ratio parts by multiplying B's ratio by 2 → B becomes 14 : 10.
Now both companies have 10 units of female workers. Total workers in A = 13 + 10 = 23 units; total workers in B = 14 + 10 = 24 units.
Therefore, the ratio of total workers in A to B is 23 : 24, making Option 2 the correct answer.
Question 4 of 7 HCF and LCM
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