Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x,Read more
Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x, the two integers become 2 multiplied by 21 and 5 multiplied by 21. Hence, the integers are 42 and 105.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x pRead more
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x plus 6x equals 88. Solving gives 11x equals 88, so x equals 8. Hence, Ruby has 8 five-rupee coins and 24 two-rupee coins.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equalRead more
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equal to 60. Therefore, the shorter piece is 60 feet long and the longer piece is 240 feet long.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
Suppose the width of the rectangle is x cm. According to the question, the length is three more than twice the width, so the length becomes 2x plus 3 cm. The perimeter of a rectangle is 2 multiplied by length plus width and it is given as 24 cm. Therefore, 2 multiplied by 2x plus 3 plus x equals 24.Read more
Suppose the width of the rectangle is x cm. According to the question, the length is three more than twice the width, so the length becomes 2x plus 3 cm. The perimeter of a rectangle is 2 multiplied by length plus width and it is given as 24 cm. Therefore, 2 multiplied by 2x plus 3 plus x equals 24. Simplifying gives 6x plus 6 equals 24, so x equals 3. Hence, the width is 3 cm and the length is 9 cm.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
Bela has 100 rupees as pocket money and spends 5 rupees every day. Let the number of days be x. After x days, the amount left with her will be 100 minus 5x rupees. According to the question, she is left with 40 rupees. Therefore, we form the equation 100 minus 5x equals 40. Subtracting 100 from bothRead more
Bela has 100 rupees as pocket money and spends 5 rupees every day. Let the number of days be x. After x days, the amount left with her will be 100 minus 5x rupees. According to the question, she is left with 40 rupees. Therefore, we form the equation 100 minus 5x equals 40. Subtracting 100 from both sides gives minus 5x equals minus 60. Dividing by minus 5 gives x equal to 12. Hence, Bela will have 40 rupees after 12 days.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
The difference between two positive integers is 63. The ratio of the two integers is 2:5. Find the two integers.
Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x,Read more
Since the ratio of the two integers is 2:5, let the integers be 2x and 5x. The difference between the larger and smaller integer is 63. Therefore, we form the equation 5x minus 2x equals 63. This simplifies to 3x equals 63. Dividing both sides by 3, we get x equal to 21. Substituting the value of x, the two integers become 2 multiplied by 21 and 5 multiplied by 21. Hence, the integers are 42 and 105.
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/
See lessRuby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total rupees 88, how many coins does she have of each type?
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x pRead more
Suppose Ruby has x five-rupee coins. Since she has three times as many two-rupee coins, the number of two-rupee coins becomes 3x. The total value of five-rupee coins is 5x rupees and the total value of two-rupee coins is 2 multiplied by 3x, which equals 6x rupees. Therefore, the total amount is 5x plus 6x equals 88. Solving gives 11x equals 88, so x equals 8. Hence, Ruby has 8 five-rupee coins and 24 two-rupee coins.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
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See lessA farmer cuts a 300 feet fence into two pieces of different sizes. The longer piece is four times as long as the shorter piece. How long are the two pieces?
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equalRead more
Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equal to 60. Therefore, the shorter piece is 60 feet long and the longer piece is 240 feet long.
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/
See lessIf the length of a rectangle is three more than twice its width and its perimeter is 24 cm, what are the dimensions of the rectangle?
Suppose the width of the rectangle is x cm. According to the question, the length is three more than twice the width, so the length becomes 2x plus 3 cm. The perimeter of a rectangle is 2 multiplied by length plus width and it is given as 24 cm. Therefore, 2 multiplied by 2x plus 3 plus x equals 24.Read more
Suppose the width of the rectangle is x cm. According to the question, the length is three more than twice the width, so the length becomes 2x plus 3 cm. The perimeter of a rectangle is 2 multiplied by length plus width and it is given as 24 cm. Therefore, 2 multiplied by 2x plus 3 plus x equals 24. Simplifying gives 6x plus 6 equals 24, so x equals 3. Hence, the width is 3 cm and the length is 9 cm.
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/
See lessBela has rupees 100 for pocket money. She spends 5 rupees every day. After how many days will she be left with rupees 40?
Bela has 100 rupees as pocket money and spends 5 rupees every day. Let the number of days be x. After x days, the amount left with her will be 100 minus 5x rupees. According to the question, she is left with 40 rupees. Therefore, we form the equation 100 minus 5x equals 40. Subtracting 100 from bothRead more
Bela has 100 rupees as pocket money and spends 5 rupees every day. Let the number of days be x. After x days, the amount left with her will be 100 minus 5x rupees. According to the question, she is left with 40 rupees. Therefore, we form the equation 100 minus 5x equals 40. Subtracting 100 from both sides gives minus 5x equals minus 60. Dividing by minus 5 gives x equal to 12. Hence, Bela will have 40 rupees after 12 days.
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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