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CBSE Class 8 Answered

The sum of the digit of a 2-digit number is 8.the number obtained by interchanging the digit exceeds the given number by 18.find the given number.
Asked by Shivamsatyam85 | 19 Dec, 2018, 06:41: AM
answered-by-expert Expert Answer
Let 10th place digit x and unit place digit is (8-x). Hence the number is 10x+(8-x) = 9x+8
 
if digits are interchanged , then the changed number  is 10(8-x)+x = 80-9x
 
the given information is,  80-9x = (9x+8)+18  or 18x = 54   or x = 3.
 
hence the number = 9x+8   = 35
Answered by Thiyagarajan K | 19 Dec, 2018, 11:10: AM
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