# Elections

The elections attended a total 4818 voters. First day 39 men more than women, the second day 21 women more than men. How many women attended elections?

Correct result:

f =  2400

#### Solution:

$m+f =4818 \ \\ m = m_1+m_2 \ \\ f= f_1+f_2 \ \\ \ \\ m_1 = 39 + f_1 \ \\ f_2 = 21 + m_2 \ \\ \ \\ m_1 + m_2 = 39+ f_1 + f_2 - 21 = m \ \\ \ \\ m+f =39+ f_1 + f_2 - 21 + f = 4818 \ \\ \ \\ 2f = 4818-39+21 \ \\ \ \\ f = 2400 \ \\ m = 4818- f = 2418$

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