In a beauty contest, half the number of experts voted for Miss $A$ and two-third voted for Miss $B$ , $10$ voted for both and $6$ did not vote for either. Then how many experts were there?

20

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24

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22

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26

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Solution

The correct option is B $24$
Let the number of experts be $x$ .

Then, $\frac{x}{2} - 10 + \frac{2}{3} x = x - 6$
$\Rightarrow x = 24$

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In a beauty contest, half the number of experts voted for Miss A and two-third voted for Miss B, 10 voted for both and 6 did not vote for either. Then how many experts were there?

The correct option is B 24Let the number of experts be x. Then, x2−10+23x=x−6 ⇒x=24

In a beauty contest, half the number of experts voted for Miss $A$ and two-third voted for Miss $B$ , $10$ voted for both and $6$ did not vote for either. Then how many experts were there?

The correct option is B $24$
Let the number of experts be $x$ .

Then, $\frac{x}{2} - 10 + \frac{2}{3} x = x - 6$
$\Rightarrow x = 24$