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The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number?
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The sum of the digits of two digit number is 8 if the digits are rever...
Problem Analysis:
Given that the sum of the digits of a two-digit number is 8 and when the digits are reversed, the number decreases by 54. We need to find the original two-digit number.
Solution:
- Let the two-digit number be represented as 10a + b, where 'a' is the digit in the tens place and 'b' is the digit in the units place.
- The sum of the digits is given as a + b = 8.
- When the digits are reversed, the new number is represented as 10b + a.
- The difference between the original number and the reversed number is (10a + b) - (10b + a) = 54.
- Simplifying the above equation, we get 9a - 9b = 54.
- Dividing by 9 on both sides, we get a - b = 6.
Now we have two equations:
1. a + b = 8
2. a - b = 6
Adding both equations, we get:
2a = 14
a = 7
Substitute the value of a in equation 1:
7 + b = 8
b = 1
Therefore, the original two-digit number is 71.
Given that the sum of the digits of a two-digit number is 8 and when the digits are reversed, the number decreases by 54. We need to find the original two-digit number.
Solution:
- Let the two-digit number be represented as 10a + b, where 'a' is the digit in the tens place and 'b' is the digit in the units place.
- The sum of the digits is given as a + b = 8.
- When the digits are reversed, the new number is represented as 10b + a.
- The difference between the original number and the reversed number is (10a + b) - (10b + a) = 54.
- Simplifying the above equation, we get 9a - 9b = 54.
- Dividing by 9 on both sides, we get a - b = 6.
Now we have two equations:
1. a + b = 8
2. a - b = 6
Adding both equations, we get:
2a = 14
a = 7
Substitute the value of a in equation 1:
7 + b = 8
b = 1
Therefore, the original two-digit number is 71.
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The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number?
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The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number?.
The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of two digit number is 8 if the digits are reversed decreased 54. find the number?.
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