the sum of the digits of a 2 digit number is 10 .the number obtained by interchanging the digits exceeds the original numbed by 36 .find the original number.
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Let the unit's digit be x..
Ten's digit = 10-x
Number = 10(10-x) + x
After interchanging digits...
Number = (10x + 10-x) - (100 - 11x) = 36
10x - x - 100 - 11x = 36 - 10
-2x - 100 = 26
-2x = 26 + 100
-2x = 126
x = -63
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