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A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :
- a)63
- b)35
- c)36
- d)60
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A number consisting of two digits is four times the sum of its digits ...
Given information:
- A two-digit number
- Four times the sum of its digits
- If 27 is added to it, the digits are reversed
Let's assume the number to be xy, where x and y are the digits of the number.
Four times the sum of its digits:
- 4(x+y)
Adding 27 to the number:
- xy + 27
The digits are reversed:
- 10y + x
Equating the two expressions for the same number:
- 4(x+y) = 10y + x - 27
Simplifying the equation:
- 3x - 6y = -27
- x - 2y = -9
As x and y are digits, x can be 1, 2, 3, 4, 5, 6, 7, 8 or 9 and y can be 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.
Checking each value of x and y, we get:
- x = 3 and y = 6
- 4(x+y) = 36 and xy = 36 - 27 = 9
- The number is 36
Therefore, the answer is option C) 36.
- A two-digit number
- Four times the sum of its digits
- If 27 is added to it, the digits are reversed
Let's assume the number to be xy, where x and y are the digits of the number.
Four times the sum of its digits:
- 4(x+y)
Adding 27 to the number:
- xy + 27
The digits are reversed:
- 10y + x
Equating the two expressions for the same number:
- 4(x+y) = 10y + x - 27
Simplifying the equation:
- 3x - 6y = -27
- x - 2y = -9
As x and y are digits, x can be 1, 2, 3, 4, 5, 6, 7, 8 or 9 and y can be 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.
Checking each value of x and y, we get:
- x = 3 and y = 6
- 4(x+y) = 36 and xy = 36 - 27 = 9
- The number is 36
Therefore, the answer is option C) 36.
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A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :a)63b)35c)36d)60Correct answer is option 'C'. Can you explain this answer?
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A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :a)63b)35c)36d)60Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :a)63b)35c)36d)60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is :a)63b)35c)36d)60Correct answer is option 'C'. Can you explain this answer?.
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