Question
Ratio of number of boys to girls in a school is 4:5
respectively. Next year, 20 boys and 25 girls left the school and 140 boys and 175 girls joined the school. If ratio becomes 5:6, then find number of boys now.Solution
Let the initial number of boys and girls be '4n' and '5n' respectively. (4n - 20 + 140) :(5n - 25 + 175) = 5:6 Or, 6 X (4n + 120) = 5 X (5n + 150) Or, 24n + 720 = 25n + 750 Or, 'n' = 30 Required number of boys = 4 X 30 - 20 + 140 = 240
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