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In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number?
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In a two dogit number the sum of the two digit is 8 if18 is added to t...
Given Information:
In a two-digit number, the sum of the two digits is 8. When 18 is added to the number, its digits are reversed.
Let's Break Down the Problem:
Step 1: Identify the Two-Digit Number
Let the two-digit number be represented by 10x + y, where x is the digit in the tens place and y is the digit in the units place.
According to the given information, the sum of the digits is 8:
x + y = 8
Step 2: Formulate the Equation
When 18 is added to the number, its digits are reversed:
10x + y + 18 = 10y + x
Step 3: Solve the Equations
From the first equation, x + y = 8, we can solve for x in terms of y:
x = 8 - y
Substitute x = 8 - y into the second equation:
10(8 - y) + y + 18 = 10y + 8 - y
80 - 10y + y + 18 = 10y + 8 - y
80 - 9y + 18 = 9y + 8
98 - 9y = 9y + 8
98 - 8 = 9y + 9y
90 = 18y
y = 5
Now that we have found y, we can find x using x = 8 - y:
x = 8 - 5
x = 3
Step 4: Determine the Two-Digit Number
Therefore, the two-digit number is 10x + y = 10(3) + 5 = 30 + 5 = 35.
Conclusion:
The two-digit number is 35.
In a two-digit number, the sum of the two digits is 8. When 18 is added to the number, its digits are reversed.
Let's Break Down the Problem:
Step 1: Identify the Two-Digit Number
Let the two-digit number be represented by 10x + y, where x is the digit in the tens place and y is the digit in the units place.
According to the given information, the sum of the digits is 8:
x + y = 8
Step 2: Formulate the Equation
When 18 is added to the number, its digits are reversed:
10x + y + 18 = 10y + x
Step 3: Solve the Equations
From the first equation, x + y = 8, we can solve for x in terms of y:
x = 8 - y
Substitute x = 8 - y into the second equation:
10(8 - y) + y + 18 = 10y + 8 - y
80 - 10y + y + 18 = 10y + 8 - y
80 - 9y + 18 = 9y + 8
98 - 9y = 9y + 8
98 - 8 = 9y + 9y
90 = 18y
y = 5
Now that we have found y, we can find x using x = 8 - y:
x = 8 - 5
x = 3
Step 4: Determine the Two-Digit Number
Therefore, the two-digit number is 10x + y = 10(3) + 5 = 30 + 5 = 35.
Conclusion:
The two-digit number is 35.
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In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number?
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In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number?.
In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two dogit number the sum of the two digit is 8 if18 is added to the number its digit reversed. find the number?.
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