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Yuliya

Sum of the digits of a two digit number is 8. when we interchange the new number obtained is smaller than the original number by 18. find the numberplease guys answer fast and answer in step up step please​

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35

Let the number be in the form of 10x+y,  where x and y are the tens digit and the units digit respectively.  

Applying the first condition:, we get 

x+y=8 ....(1)

Applying the second condition, given in the problem 

10x+y+18=10y+x

⇒9x−9y=−18

⇒x−y=−2 ....(2)

By solving equations (1) and (2), we get  

x=3 and y=5 

Therefore, the number is 35.

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