sum of the two digit number is 9 .when we inter change the digit ,it is that resulting new number is is greater than the original number by 27. what is the two digit number
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sum of the two digit number is 9 .when we inter change the digit ,it is that resulting new number is is greater than the original number by 27. what is the two digit number
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Let the digital be X and y.
First number be X×10 + y
And X+y = 9__eq(i)
According to question:-
y×10 +X - (X×10 + y) = 27
10y + X - 10X - y = 27
9y -9X = 27
9(y-X) = 27
y-X = 27/9
y-X=3 __eq(ii)
Solving eq(i) and(ii) , we get
X+y+(y-X) =9+3
X+y+y-X=12
2y=12
y=6, X=3
First two digit
X × 10 +y
3×10+6=36 Ans
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