Question
In 2023, ratio of boys and girls in a school was 2:3,
respectively. In 2024, 20 boys join and 30 girls leave the school, so the ratio of boys to girls becomes 4:3. Find the number of students (boys and girls) in school in 2023.Solution
Let the number of boys and girls in 2023 be '2a' and '3a', respectively. ATQ, (2a + 20) : (3a − 30) = 4 : 3 Or, 3 × (2a + 20) = 4 × (3a − 30) Or, 6a + 60 = 12a − 120 Or, 6a = 180 Or, ‘a’ = 30 Therefore, required number of students = 2a + 3a = ‘5a’ = 5 × 30 = 150
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