60 men and 76 women form a committee. And an equal number of men and women joined the committee and the ratio become 9 : 11. How many total number of members joined the group ?

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Solution

The correct option is C 24
Let x men and x women joined the committee. Therefore, total new members are 2x.
Now,
Men = 60 + x
Women = 76 + x
New men and women ratio = 9 : 11
(60 + x)/(76 + x) = 9/11
660 + 11x = 684 + 9x
2x = 24
Thus, 24 new members joined.

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