The sum of the digits of a two -digital number is 7.the number obtained by interchangeingredients the thedigits exceeds the original number by 27. Find the number
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Step-by-step explanation:
Let the two numbers be x and y respectively.
So, x+y=7. ......................Eq(1)
Original Number= 10x+y
Interchanged number= 10y+x
(10y+x) = (10x+y) + 27
10y +10x= 10x+y+ 27
9y=27
y=3
Substitute in Eq(1):
x+3=7
x=4
The number= 10x+y=43
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