The sum of all 2 digit divisors of the number obtained by the difference of a 3 digit number of suc

M4maths Previous Puzzles

10 Jun 2009 2 digit divisors

The sum of all 2 digit divisors of the number obtained by the difference of a 3 digit number
of successive digits in decreasing order and a 3 digit number having same digits in reciprocal
order. Only 1, 2, 3, 4, 5, 6, 7, 8, 9 can be used as digits

OPtion

1) 250
2) 249
3) 448
4) 29
5) 19
6) 16
7) 31
8) 198
9) 150
10) 456

Solution

321-123=198

2 digit divisors of 198 are 11, 18, 22, 33, 66, 99.

Correct Option: 2 Best Solution (1)