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If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:
- a)18
- b)63
- c)54
- d)72
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the sum of digits is 9 and the difference between the digit in the ...
Let the two-digit number is (10x + y)
According to the question,
x + y = 9 ---- (1)
x - y = 1 ---- (2)
Solving eq (1) and (2), we get
x = 5 and y = 4
So, two-digit number = 10x + y = 50 + 4 = 54
Most Upvoted Answer
If the sum of digits is 9 and the difference between the digit in the ...
Understanding the Problem
To find the two-digit number based on the conditions given:
1. The sum of the digits is 9.
2. The difference between the digit in the ten's place and the unit's place is 1.
Let’s Define the Digits
- Let the ten's digit be represented as 'x'.
- Let the unit's digit be represented as 'y'.
Set Up the Equations
From the problem statement, we can derive two equations:
1. x + y = 9 (Sum of digits)
2. x - y = 1 (Difference of digits)
Solving the Equations
To find the values of x and y, we can solve the equations:
- From equation 1: y = 9 - x
- Substitute y in equation 2:
- x - (9 - x) = 1
- Simplifying gives us: 2x - 9 = 1
- Hence, 2x = 10, which leads to x = 5.
Using x = 5 in equation 1:
- 5 + y = 9
- Thus, y = 4.
Identifying the Two-Digit Number
With x = 5 and y = 4, the digits correspond to:
- Ten's place: 5
- Unit's place: 4
Therefore, the two-digit number formed is 54.
Conclusion
The two-digit number that satisfies both conditions is:
- 54
Thus, the correct answer is option 'C'.
To find the two-digit number based on the conditions given:
1. The sum of the digits is 9.
2. The difference between the digit in the ten's place and the unit's place is 1.
Let’s Define the Digits
- Let the ten's digit be represented as 'x'.
- Let the unit's digit be represented as 'y'.
Set Up the Equations
From the problem statement, we can derive two equations:
1. x + y = 9 (Sum of digits)
2. x - y = 1 (Difference of digits)
Solving the Equations
To find the values of x and y, we can solve the equations:
- From equation 1: y = 9 - x
- Substitute y in equation 2:
- x - (9 - x) = 1
- Simplifying gives us: 2x - 9 = 1
- Hence, 2x = 10, which leads to x = 5.
Using x = 5 in equation 1:
- 5 + y = 9
- Thus, y = 4.
Identifying the Two-Digit Number
With x = 5 and y = 4, the digits correspond to:
- Ten's place: 5
- Unit's place: 4
Therefore, the two-digit number formed is 54.
Conclusion
The two-digit number that satisfies both conditions is:
- 54
Thus, the correct answer is option 'C'.
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If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer?
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If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer?.
If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of digits is 9 and the difference between the digit in the ten’s place and unit’s place is 1, then the two-digit number is:a)18b)63c)54d)72Correct answer is option 'C'. Can you explain this answer?.
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