Question

in a two digit number the sum of the two digits is 8.if 18 is added to the number its digits are reversed.find the number

Answer 1

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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

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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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Answer 2

Solution :

Before solving , let's go through the Question once again ...

Question : In a two digit number the sum of the two digits is 8.If 18 is added to the number its digits are reversed.Find the number

______________________________

From the given question we know that :

1. Sum of 2-digit number = 8
2. If 18 is added to the number, the digits change their places.

To find : The value of the number .

______________________________

Intially , Let's assume the number as x .

Then , the other number would be : 8 - x

Equation Obtained from 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

Since , x = 3

Then , One Number = x = 3

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

Therefore , the number is 35.

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