The difference of a 3 digit positive number and the formed by reversing the digits of the number is

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29 Jun 2012 number

The difference of a 3 digit positive number and the formed by reversing the digits of the number is 99. Sum of the digits at units and thousands place is 11 and tens place is 1 less then the units place. Product of the 2 numbers will be

OPtion

1) 352170
2) 345460
3) 319780
4) 293440
5) 265470
6) 231430
7) 213470
8) 194580
9) 182330
10) none of these

Solution

let the number is 100x+10y+z
so according to the given condition
(100x+10y+z)-(100z+10y+x) = 99
so x-z = 1
other conditions given are x+z = 11
and y = z-1
on solve this we find x = 6, y = 4 and z = 5
so number is 645

Correct Option: 1 Best Solution (0)