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The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.?
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The sum of the digits of a two digit number is 8. If the digits are re...
Given Information:
- The sum of the digits of a two-digit number is 8.
- When the digits are reversed, the number is decreased by 54.
Let's solve the problem step by step:
Step 1: Setting up the equation
- Let the tens digit be x and the units digit be y.
- The number can be represented as 10x + y.
- According to the first condition, the sum of the digits is 8: x + y = 8.
- According to the second condition, when the digits are reversed, the number is decreased by 54: 10y + x = 10x + y - 54.
Step 2: Solving the equations
- From the first equation x + y = 8, we can rewrite it as y = 8 - x.
- Substituting y = 8 - x into the second equation gives us 10(8 - x) + x = 10x + (8 - x) - 54.
- Simplifying the equation: 80 - 10x + x = 10x + 8 - x - 54.
- Further simplifying: 80 - 9x = 9.
- Solving for x: x = 8.
- Substituting x = 8 back into y = 8 - x, we get y = 8 - 8 = 0.
Step 3: Finding the number
- The original number is 10x + y = 10(8) + 0 = 80.
Therefore, the two-digit number is 80.
- The sum of the digits of a two-digit number is 8.
- When the digits are reversed, the number is decreased by 54.
Let's solve the problem step by step:
Step 1: Setting up the equation
- Let the tens digit be x and the units digit be y.
- The number can be represented as 10x + y.
- According to the first condition, the sum of the digits is 8: x + y = 8.
- According to the second condition, when the digits are reversed, the number is decreased by 54: 10y + x = 10x + y - 54.
Step 2: Solving the equations
- From the first equation x + y = 8, we can rewrite it as y = 8 - x.
- Substituting y = 8 - x into the second equation gives us 10(8 - x) + x = 10x + (8 - x) - 54.
- Simplifying the equation: 80 - 10x + x = 10x + 8 - x - 54.
- Further simplifying: 80 - 9x = 9.
- Solving for x: x = 8.
- Substituting x = 8 back into y = 8 - x, we get y = 8 - 8 = 0.
Step 3: Finding the number
- The original number is 10x + y = 10(8) + 0 = 80.
Therefore, the two-digit number is 80.
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The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.?
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The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 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 a two digit number is 8. If the digits are reversed, the number is decreased by 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 a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.?.
The sum of the digits of a two digit number is 8. If the digits are reversed, the number is decreased by 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 a two digit number is 8. If the digits are reversed, the number is decreased by 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 a two digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.?.
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