The mantissa of a number divisible by 25 should be 25,50,75,00. There are only four possibilities for the last two digits, and the mantissa can only be 0 or 5.

Because it is greater than 5000, the first place should be 5, 6, 7, 8, 9.

The sum of the two singular numbers is 12.

The following discussion:

1, if the mantissa is 5 and the other singular is 7, that is, the last two digits are 75, and the first digit can only be 6 or 8. Possible combinations are: 6075 6275 6475 6675 6875 8275 8475 8675 8875,

2. If mantissa is 0, the last two digits may be 50 or 00.

A: If it is 50, one of the top two is 7. Possible scenario: If the first digit is 7, it is 7050 7250 7450 7650 7850.

The second place is 7, followed by 6750 8750.

B: If the mantissa is 00 and the first two digits are singular, the total is 12. Possible combinations: 5700 7500 9300.