Let the integers be 2x and 5x because their ratio is 2:5. Their difference is 63. Therefore, 5x minus 2x equals 63. Solving gives x equal to 21. Hence, the integers are 42 and 105.
The difference between two positive integers is 63. The ratio of the two integers is 2:5. Find the two integers.
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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/