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    Question

    In 2023, ratio of boys and girls in a school was 3:5,

    respectively. In 2024, 30 boys join and 10 girls leave the school, so the ratio becomes 1:1. Find the number of students in 2023.
    A 128 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 176 Correct Answer Incorrect Answer

    Solution

    Let the number of boys and girls in 2023 be '3a' and '5a', respectively. ATQ, (3a + 30) : (5a тИТ 10) = 1 : 1 Or, 3a + 30 = 5a тИТ 10 Or, 2a = 40 Or, тАШaтАЩ = 20 Therefore, required number of students = 3a + 5a = тАШ8aтАЩ = 8 ├Ч 20 = 160

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