Question
In 2023, ratio of boys and girls in a school was 4:5,
respectively. In 2024, 40 boys join and 20 girls leave the school, so the ratio becomes 6:5. Find the number of students in 2023.Solution
Let the number of boys and girls in 2023 be '4a' and '5a', respectively. ATQ, (4a + 40) : (5a − 20) = 6 : 5 Or, 5 × (4a + 40) = 6 × (5a − 20) Or, 20a + 200 = 30a − 120 Or, 10a = 320 Or, ‘a’ = 32 Therefore, required number of students = 4a + 5a = ‘9a’ = 9 × 32 = 288
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