Question
Download Solution PDFA number consists of two digits. The digit at the ten's place is two times the digit at the one's place. The number, formed by reversing the digits is 27 less than the original number. Then the original number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A number consists of two digits.
The digit at the ten's place is two times the digit at the one's place.
The number, formed by reversing the digits, is 27 less than the original number.
Calculation:
Let the digit at the one's place be x.
The digit at the ten's place = 2x.
Original number = 10 × (2x) + x = 21x.
Reversed number = 10 × x + (2x) = 12x.
Original number - Reversed number = 27
21x - 12x = 27
⇒ 9x = 27
⇒ x = 3
Digit at one's place = x = 3
Digit at ten's place = 2x = 6
Original number = 10 × (6) + 3 = 63
∴ The correct answer is option (3).
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