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Form a pair of linear equations and find their common solutions graphically. 10 students of Grade 9 took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

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Let boys be x and girls y. The equations are x + y = 10 and y – x = 4. Graphing both lines reveals their unique intersection point at (3, 7). Thus, 3 boys and 7 girls participated.

Ganita Manjari class 9 part 2 maths Chapter 13 questions answer
Ganita Manjari class 9 part 2 maths Chapter 13 Two Variables, One Line solutions

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  1. Let x denote the number of boys and y denote the number of girls. The problem yields two linear equations: x + y = 10 and y – x = 4. Plotting x + y = 10 passes through (0, 10) and (10, 0), while y – x = 4 passes through (0, 4) and (6, 10). The two straight lines intersect precisely at (3, 7), giving 3 boys and 7 girls.

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/

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