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Mathematics

In a two digit number, the sum of the digit is 11 and the tens digit minus unit digit is 5. The number is :

  1. 38

  2. 83

  3. 29

  4. 92

Linear Equations

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Answer

Let digit at ten's place be x.

It is given that the sum of the digit is 11.

So, digit at one's place be 11 - x.

And, the tens digit minus unit digit is 5.

⇒ x - (11 - x) = 5

⇒ x - 11 + x = 5

⇒ 2x - 11 = 5

⇒ 2x = 5 + 11

⇒ 2x = 16

⇒ x = 162\dfrac{16}{2}

⇒ x = 8.

The digit at one's place = 11 - x = 11 - 8 = 3.

∴ Number = 10 × 8 + 3 = 80 + 3 = 83.

Hence, option 2 is the correct option.

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