A number consits of two digits whose sum id 8.if 8 is added to the number its digits are reserved. Find the number?
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Correct Question:
A number consits of two digits whose sum is 8.If 18 is added to the number its digits are reserved. Find the number?
Given:
- We have been given that a number consists of two digits whose sum is 8.
- When 18 is added to the number, the digits are revesed.
To Find:
- We need to find the number.
Solution:
Let us assume that one number is x.
=> Other number = (8 - x).
Now, by question we have
10x + (8 - x) + 18 = 10(8 - x) + x
= 10x + 8 - x + 18 = 80 - 10x + x
=> 9x + 26 = 80 - 9x
=> 9x + 9x + 26 = 80
= >18x + 26 = 80
=> 18x = 80 - 26
=> 18x = 54
=> x = 3
Therefore, one number is x = 3 and other number is (8 - 3) = 5.
Hence the number formed is 35.
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