Math, asked by choudhuryanuska2008, 2 months ago

Sum of the digits of a two digits number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?​

Answers

Answered by Astitva3591
53

Step-by-step explanation:

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Answered by Sauron
126

Answer:

The two digit number is 36.

Step-by-step explanation:

Let,

Units digit = x

Tens digit = 9 - x

Original no. =

  • 10 (9 - x) + x
  • 90 - 9x

When we interchange the digits :

  • 10x + (9 - x)
  • 9x + 9

It is found that the resulting new number is greater than the original number by 27

⇒ 90 - 9x + 27 = 9x + 9

⇒ 90 + 27 - 9x = 9x + 9

⇒ 117 - 9x = 9x + 9

⇒ 117 - 9 = 9x + 9x

⇒ 108 = 18x

⇒ x = 108 / 18

⇒ x = 6

Units digit = 6

Tens digit = 9 - x

⇒ 9 - 6

⇒ 3

Tens digit = 3

The two digit number is 36.

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