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If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?
- a)16
- b)32
- c)63
- d)48
- e)Can not be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the positions of the digits of a two digit number are interchanged,...
original number – 10x + y
(10x + y) – (10y + x) = 27
9(x – y) = 27
x – y = 3
y/x = 1/2
x = 2y
y = 3, x = 6 →63
(10x + y) – (10y + x) = 27
9(x – y) = 27
x – y = 3
y/x = 1/2
x = 2y
y = 3, x = 6 →63
Most Upvoted Answer
If the positions of the digits of a two digit number are interchanged,...
Thus, the original number is 63.
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If the positions of the digits of a two digit number are interchanged,...
Given:
- The digits of a two-digit number are in the ratio of 1:2
- If the positions of the digits are interchanged, the number obtained is smaller than the original by 27.
To find: the original number.
Solution:
Let the two digits of the number be x and 2x (since they are in the ratio of 1:2)
Original number = 10x + 2x = 12x
When the positions of the digits are interchanged, the new number becomes 10(2x) + x = 20x + x = 21x
According to the given condition, the new number is smaller than the original number by 27.
So, we can write the equation as: 12x - 27 = 21x
Simplifying the equation, we get:
9x = 27
x = 3
So, the two digits of the original number are 3 and 6 (in the ratio of 1:2)
Therefore, the original number = 12x = 12(3) = 36
Hence, the correct answer is option (c) 63.
- The digits of a two-digit number are in the ratio of 1:2
- If the positions of the digits are interchanged, the number obtained is smaller than the original by 27.
To find: the original number.
Solution:
Let the two digits of the number be x and 2x (since they are in the ratio of 1:2)
Original number = 10x + 2x = 12x
When the positions of the digits are interchanged, the new number becomes 10(2x) + x = 20x + x = 21x
According to the given condition, the new number is smaller than the original number by 27.
So, we can write the equation as: 12x - 27 = 21x
Simplifying the equation, we get:
9x = 27
x = 3
So, the two digits of the original number are 3 and 6 (in the ratio of 1:2)
Therefore, the original number = 12x = 12(3) = 36
Hence, the correct answer is option (c) 63.
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If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?a)16b)32c)63d)48e)Can not be determinedCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?a)16b)32c)63d)48e)Can not be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?a)16b)32c)63d)48e)Can not be determinedCorrect answer is option 'C'. Can you explain this answer?.
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