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Ayushree
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Asked: 2026-10-06T05:18:36+00:00 In:

Here is a problem that was posed by Mahāvīrāchārya in Gaṇita sāra saṅgraha (c. 850 CE). The price of 9 citrons and 7 fragrant wood-apples taken together is 107; and the price of 7 citrons and 9 fragrant wood-apples taken together is 101. O mathematician, tell me quickly the price of each citron and of each fragrant wood-apple.

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Let a citron cost x and a wood-apple y. Adding 9x + 7y = 107 and 7x + 9y = 101 gives x + y = 13. Subtracting gives x − y = 3. Adding both yields x = 8 and y = 5.

Cbse released Class 9 Ganita Manjari Part 2 book
Chapter 13 Two Variables, One Line (Ganita Manjari 2) Solutions

a problem that was posed by mahāvīrāchārya in gaṇita sāra saṅgrahacbse class 9 maths ganita manjari part 2 solutionsclass 9 maths ganita manjari part 2 chapter 13 question answerganita manjari part 2 chapter 13 two variablesone line solutionsprice of each citron and of each fragrant wood-apple
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    1. Letting the citron price be x and wood-apple price be y gives 9x + 7y = 107 and 7x + 9y = 101. Because the coefficients are interchanged, adding the two equations yields 16x + 16y = 208, which simplifies to x + y = 13. Subtracting them yields 2x − 2y = 6, giving x − y = 3. Solving these two simpler equations gives x = 8 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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