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If we multiply a number by 5/2 and add 2/3 to the product, we get –7/12. Find the number.

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Let the unknown number be x. The problem gives the linear equation 5/2 x + 2/3 = -7/12. Shifting 2/3 over gives 5/2 x = -15/12, which simplifies to the final number x = -1/2.

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1 Answer

  1. Let the required number be represented by the variable x. Translating the word problem into a mathematical equation results in 5/2 x + 2/3 = -7/12. To solve for x, subtract 2/3 from both sides of the expression, making 5/2 x = -7/12 – 8/12, which combines to -15/12. Multiplying both sides by 2/5 isolates the variable, resulting in x = (-15/12) multiplied by (2/5), which simplifies perfectly to -1/2.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/

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