Question
Ratio of number of boys to girls in a school is 4:7
respectively. Next year, 40 boys and 70 girls left the school and 120 boys and 140 girls joined the school. If ratio becomes 3:5, then find number of boys now.Solution
Let the initial number of boys and girls be '4n' and '7n' respectively. (4n - 40 + 120) :(7n - 70 + 140) = 3:5 Or, 5 X (4n + 80) = 3 X (7n + 70) Or, 20n + 400 = 21n + 210 Or, 'n' = 190 Required number of boys = 4 x 190 - 40 + 120 = 840
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