Question 4 - End-of-Chapter Exercises - Chapter 2 Class 9 - Introduction to Linear Polynomials (Ganita Manjari

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Question 4 A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Let the smaller number be x Given that a positive number is 5 times another number Thus, Positive number = 5 × Smaller number = 5x Now, 21 added to both numbers. So our numbers become New smaller number = x + 21 New bigger number = 5x + 21 Given that, One of the new number becomes twice of the other new number So, we can write New bigger number = 2 × New smaller number 5x + 21 = 2 × (x + 21) 5x + 21 = 2x + 42 5x − 2x + 21 = 42 3x + 21 = 42 3x = 42 − 21 3x = 21 x = 21/3 x = 7 Thus, our numbers are Smaller number = x = 7 Bigger number = 5x = 5 × 7 = 35