1.

A number consists of two digit whose sum is 8. if 18 is added to the number it's digit are reversed.Find the number

Answer»

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Given :-

  • Sum of 2-digit number = 8

  • If 18 is added to the number, the digits change their places.

To Find :-

  • The Number

______________________________

Let one of the number be X

And the other number be 8 - x

According to the question

⇒ 10x + (8 - x) + 18 = 10(8 - x) + x

⇒ 10x + 8 - x + 18 = 80 -10x + x

⇒ 9x + 26 = 80 - 9x

⇒ 9x + 9x = 80 - 26

⇒ 18x = 54

⇒ x = 54/18

⇒ x = 3

One Number = x = 3

Other number = 8 - x = 8 - 3 = 5

Hence, the number is 35.

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