Question
In 2023, ratio of boys and girls in a school was 6:7,
respectively. In 2024, 18 boys join and 14 girls leave the school, so the ratio becomes 1:1. Find the number of students in 2023.Solution
Let the number of boys and girls in 2023 be '6a' and '7a', respectively. ATQ, (6a + 18) : (7a − 14) = 1 : 1 Or, 6a + 18 = 7a − 14 Or, a = 32 Therefore, required number of students = 6a + 7a = ‘13a’ = 13 × 32 = 416
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