sum of the two digits of a two digit number is 9 when we interchange
the digit its found that the resulting new number by 27 what is the two digit number
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Let the Two digits be x and y and the number be 10x+y
After interchanging the digits new number is
10y+x
It is given 10y+x=10x+y+27
9y-9x=27
y-x=3
It is given y+x=9
Adding these two equations we get
2y=12
y=6
Put this value of y in any of the above two equations
you will get x=3
So the number is 10×3+6=36
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