Rounding me to the nearest thousand makes me 8000.the sum of my digits is 24.if you red me forward and backward,i am still the same.what number am i?

2
by riomayabaniel

2014-08-09T17:01:39+08:00
Round the number into the nearest thousand makes it 8000, so the first number is 7, and it ha 4 digits. Since it is said that if you read the number forward or backward it is still the same, therefore, the 1st and 4th numbers are the same and the 2nd and 3rd numbers are also the same. So, the 4th number is 7. We now use: 7 + x + x + 7 = 24, x is the 2nd and 3rd numbers, which are the same. We have: 2x + 14 = 24 --> 2x = 10 --> x = 5. The number is 7557.
2014-08-10T12:12:48+08:00
Let ABCD be the number:
Rounding me to the nearest thousand makes me 8000 = From here we could say that the thousands digit is 7 or 8. So, 7BCD or 8BCD.

The sum of my digits is 24 = 7+B+C+D = 24 or 8+B+C+D = 24. So, B+C+D = 17 or 16.

If you read me forward and backward,i am still the same = It is a Palindromic number. So A=D and B=C. Then it could be 7557 or 8448.

Checking:
Round off 7557 is 8000.
Round off 8448 is 8000.

7+5+5+7=24
8+4+4+8=24

So it could be 7557 or 8448.