<PRE><B>Question 1210358</B>
&lt;br&gt;
The other tutor has provided a typical formal mathematical solution to the problem.&lt;br&gt;
To see that the formal mathematics only formalizes common sense and logical reasoning, here is an informal solution that follows exactly the same computational path as the formal solution provided by the other tutor.&lt;br&gt;
The original number of employees was 80.&lt;br&gt;
If the numbers of both men and women were doubled, the total number of employees would be 80*2 = 160.&lt;br&gt;
But if the number of men was doubled and the number of women was tripled, the new total number of employees would be 190.&lt;br&gt;
That difference of 30 between 190 and 160 is because the number of women was tripled instead of doubled.&lt;br&gt;
That means the original number of women was 30.&lt;br&gt;
And that means the original number of men was 80-30 = 50.&lt;br&gt;
ANSWERS: 30 women and 50 men.&lt;br&gt;
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