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Given: Number of boys in College A = 3x Number of girls in College A = 2x Number of boys in College B = 7y Number of girls in College B = 3y Total students are equal: 3x+2x=7y+3y So, 5x=10y or x=2y. Postgraduate Students: Number of postgraduate boys in College A = 80% of 3x = 0.8×3x=2.4x Number of postgraduate girls in College B = 60% of 3y = 0.6×3y=1.8y Since x=2y: 2.4(2y)+1.8y=3300 4.8y+1.8y=3300 6.6y=3300 y=500 Therefore, x=2y=2×500=1000. Hence, Total male students in College A:3x=3×1000=3000 Total female students in College B:3y=3×500=1500
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