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Sum of the digits of a two-digit number is 14. If we add 18 to the original number, the digits interchange their places . Write two equations for these two statements.?
Most Upvoted Answer
Sum of the digits of a two-digit number is 14. If we add 18 to the ori...
Sum of the digits equation:

Let's assume the two-digit number is represented by the variables "x" and "y", where "x" represents the tens digit and "y" represents the units digit. According to the given information, the sum of the digits is 14.

The equation can be written as:

x + y = 14

Interchanging digits equation:

When we add 18 to the original number, the digits interchange their places. This means that the units digit becomes the tens digit and the tens digit becomes the units digit.

To represent this mathematically, we can write:

10y + x + 18

Breaking down the equation:

The original number "xy" can be represented as 10x + y, where the tens digit is multiplied by 10 and added with the units digit.

When we add 18 to the original number, we get:

(10x + y) + 18

This equation represents the new number where the digits have interchanged their places.

To summarize, we have two equations:

1. Sum of the digits equation: x + y = 14
2. Interchanging digits equation: (10x + y) + 18

By solving these two equations simultaneously, we can find the values of "x" and "y" and determine the original two-digit number.
Community Answer
Sum of the digits of a two-digit number is 14. If we add 18 to the ori...
X+2x=14
14+X+2x=0
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Sum of the digits of a two-digit number is 14. If we add 18 to the original number, the digits interchange their places . Write two equations for these two statements.?
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Sum of the digits of a two-digit number is 14. If we add 18 to the original number, the digits interchange their places . Write two equations for these two statements.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Sum of the digits of a two-digit number is 14. If we add 18 to the original number, the digits interchange their places . Write two equations for these two statements.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of the digits of a two-digit number is 14. If we add 18 to the original number, the digits interchange their places . Write two equations for these two statements.?.
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