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A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.?
Most Upvoted Answer
A number consists of 2 digits whose sum is 6. If 13 is added to the nu...
Problem Statement:
A number consists of 2 digits whose sum is 6. If 13 is added to the number, its digits are reversed. Find the number.
Explanation:
To solve this problem, we can follow these steps:
Step 1: Assign Variables
Let the two digits of the number be x and y. Since the sum of the digits is 6, we have x + y = 6.
Step 2: Formulate Equation
The original number can be expressed as 10x + y. When 13 is added to the number, it becomes 10y + x. Therefore, we have the equation 10x + y + 13 = 10y + x.
Step 3: Solve the Equation
Substitute x + y = 6 into the equation:
10(6 - y) + y + 13 = 10y + 6 - y
60 - 10y + y + 13 = 10y + 6 - y
60 + 13 = 10y + y - 10y - 6
73 = 9y - 6
73 + 6 = 9y
79 = 9y
y = 79 / 9
y = 8
Substitute y = 8 back into x + y = 6:
x + 8 = 6
x = 6 - 8
x = -2
Since x and y represent digits, we know that x must be positive. Therefore, the assumption that x = -2 is incorrect. Thus, there is no solution to this problem.
A number consists of 2 digits whose sum is 6. If 13 is added to the number, its digits are reversed. Find the number.
Explanation:
To solve this problem, we can follow these steps:
Step 1: Assign Variables
Let the two digits of the number be x and y. Since the sum of the digits is 6, we have x + y = 6.
Step 2: Formulate Equation
The original number can be expressed as 10x + y. When 13 is added to the number, it becomes 10y + x. Therefore, we have the equation 10x + y + 13 = 10y + x.
Step 3: Solve the Equation
Substitute x + y = 6 into the equation:
10(6 - y) + y + 13 = 10y + 6 - y
60 - 10y + y + 13 = 10y + 6 - y
60 + 13 = 10y + y - 10y - 6
73 = 9y - 6
73 + 6 = 9y
79 = 9y
y = 79 / 9
y = 8
Substitute y = 8 back into x + y = 6:
x + 8 = 6
x = 6 - 8
x = -2
Since x and y represent digits, we know that x must be positive. Therefore, the assumption that x = -2 is incorrect. Thus, there is no solution to this problem.
Community Answer
A number consists of 2 digits whose sum is 6. If 13 is added to the nu...
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A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.?
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A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.?.
A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of 2 digits whose sum is 6. If 13 is added to the number it's digits are reversed.Find the number.?.
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