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Product kept constant (rows x students, pages x lines): change both factors, find the original

This type of question, asked 2 times: CDS 1 2020, CDS 2 2020. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2020

    31
    Students of a class are made to sit in rows of equal number of chairs. If number of students is increased by 2 in each row, then the number of rows decreases by 3. If number of students is increased by 4 in each row, then the number of rows decreases by 5. What is the number of students in the class ?

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  2. Question 2

    CDS 2 2020

    17
    A 60-page book has nn lines per page. If the number of lines were reduced by 3 in each page, the number of pages would have to be increased by 10 to give the same writing space. What is the value of nn ?

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