2 The middle digit of a combi 100 al 1000
is zero and the sum of two hal is 13 at
the raber care revessel auf the Vale be495
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Let x be the digit in units' place and y be the digit in hundreds' place.
Then, since the digit in tens' place is 0, the number will be represented by 100y + x.
If the digits are reversed, the number so formed will be represented by 100x +y. Therefore,
100x+y−(100y+x)=495
or 100x+y−100y−x=495
or 99x−99y=495
or x−y=5 ............. (1)
Again, since the sum of the other digits is 11, and the middle one is 0, we have
x+y=11 ......... (2)
From (1) and (2), we get x=8,y=3
Hence, the number is 308.
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