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In a two-digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the places of both digits are interchanged, the new number formed is 27 more than the original number. The original number is
  • a)
    47
  • b)
    59
  • c)
    23
  • d)
    35
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a two-digit number, the digit at the unit’s place is 1 less t...
Let the ten’s digit and unit digit of the two-digit number be x and y respectively.
⇒  Two digit number = 10x + y
According to the given information,
y = 2x– 1
⇒ 2x – y = 1 …………………..(i)
If the places of the digits are interchanged,
10y + x = 10x + y + 27
⇒ 9y -9x = 27
 y – x = 3 …………………..(ii)
We get
y = 7
x = 4
∴ The number is 47.
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Most Upvoted Answer
In a two-digit number, the digit at the unit’s place is 1 less t...
Place is 2 more than the digit at the tens place. The sum of the digits is 12. Find the number.
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In a two-digit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the places of both digits are interchanged, the new number formed is 27 more than the original number. The original number isa)47b)59c)23d)35Correct answer is option 'A'. Can you explain this answer?
Question Description
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