40% of the people who joined a swimming club were female. After one year, the number of female members decreased by 20% and the number of male members increased by 45%. In the end, the club had 228 more members than a year ago. What was the difference between the number of male and female members at first?
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let at 1st, number of female members are 40
then number of male members are 60
after 1 year female member decreases by 20%
now female members are
40-40×20/100
=40-8
=32
male members increases by 45%
now male members
60+60×45/ 100
=60+27
=87
now total members (87+32)=119
so(119-100)=19 more members than 1 years ago
so actual members in 1 year ago
100×228/19=1200
so female members =1200×40/100=480
male members =(1200-480)=720
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