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?

Result

f =  2400

Solution:

m+f=4818 m=m1+m2 f=f1+f2  m1=39+f1 f2=21+m2  m1+m2=39+f1+f221=m  m+f=39+f1+f221+f=4818  2f=481839+21  f=2400 m=4818f=2418 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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