In a beauty contest, half the number of judges voted for Miss A, 2/3 voted for Miss B, 20 voted for both and 6 did not vote for neither Miss A nor Miss B. Find how many judges , in all, were present there?

Let the total number of judges be x. Then, the given problem can be represented by Venn diagram as —

Hence, the total number of judges present in the beauty contest is 84

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