Let the smaller number be x. Then the larger number is x plus 10. Their sum is 64. Solving the equation gives x equal to 27. Therefore, the two numbers are 27 and 37.
The sum of two numbers is 64. One of the numbers is 10 more than the other. What are the two numbers?
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Suppose the smaller number is x. Since the larger number is 10 more than the smaller number, it becomes x plus 10. According to the question, the sum of the two numbers is 64. Therefore, we form the equation x plus x plus 10 equals 64. This simplifies to 2x plus 10 equals 64. Subtracting 10 gives 2x equals 54 and dividing by 2 gives x equals 27. Hence, the two numbers are 27 and 37.
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/