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5 pencils and 7 pens together cost ₹50, whereas 7 pencils and 5 pens together cost ₹46. Find the cost of each pencil and pen.

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Let a pencil cost ₹x and a pen ₹y. Equations are 5x + 7y = 50 and 7x + 5y = 46. Adding gives x + y = 8. Subtracting gives x − y = −2. Solving yields x = 3 and y = 5.

Class 9 Maths Ganita Manjari Part 2 chapter 13 question answer
Class 9 Maths Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions

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  1. Let the cost of a pencil be ₹x and a pen be ₹y. The given relations are 5x + 7y = 50 and 7x + 5y = 46. Adding both equations yields 12x + 12y = 96, which simplifies to x + y = 8. Subtracting the first equation from the second yields 2x − 2y = −4 or x − y = −2. Adding these simplified equations gives 2x = 6, so x = 3 and y = 5.

     

    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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