Q. 114.0( 23 Votes )

At the end of the year 2016, the population of villages Kovad, Varud, Chikhali is 5x2 – 3y2, 7y2 + 2xy and 9x2 + 4xy respectively. At the beginning of the year 2017, x2 + xy – y2,5xy and 3x2 + xy persons from each of the three villages respectively went to another village for education then what is the remaining total population of these three villages?

Answer :

Older Population of Kovad, Pk = 5x2 – 3y2

Older Population of Varud, Pv = 7y2 + 2xy


Older Population of Chikhali, Pc = 9x2 + 4xy


Number of people migrated from Kovad, Mk = x2 + xy – y2


Number of people migrated from Varud, Mv = 5xy


Number of people migrated from Chikhali, Mc = 3x2 + xy


Present Population of Kovad = Pk – Mk


= (5x2 – 3y2) – (x2 + xy – y2)


= 4x2 – 2y2 – xy


Present population of Varud = Pv – Mv


= (7y2 + 2xy) – 5xy


= 7y2 – 3xy


Present Population of Chikhali = Pc – Mc


= (9x2 + 4xy) – (3x2 + xy)


= 6x2 + 3xy


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