Math, asked by tkvasavan, 10 months ago

a number consists of 2 digits where sum is 8. when 18 is added to the number it's digits gets reversed. find the numbers​

Answers

Answered by roysagnikimaginer
1

Answer:

Step-by-step explanation:

Attachments:
Answered by Anonymous
6

Answer:

  • The Number is 35

Step-by-step explanation:

Given:

  • Sum of two digit number is 8
  • When 18 add to no. its digit get reversed.

To Find:

  • Numbers.

Now, let

  • One no. be 'x'
  • Other no. be '8 - x'

Now, according to question,

⇒ 10x + (8 - x) + 18 = 10(8 - x) + x

⇒ 10x + 8 - x + 18 = 80 - 10x + x

⇒ 9x + 26 = 80 - 9x

⇒ 18x = 80 - 26

⇒ 18x = 54

⇒ x = 3

So, numbers are:

  • x = 3
  • 8 - x = 8 - 3 = 5

Hence, the number is 35.

Verification:

⇒ sum of no is 8

⇒ 3 + 5 = 8

⇒ When 18 is added to the no. its digit get reversed.

⇒ 35 + 18

⇒ 53

Hence Verified!!!

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