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
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Answer:
Step-by-step explanation:
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Answered by
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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