Can you find a five digit number which has no zeros nor ones in it and no digit is repeated, where:

Can you find a five digit number which has no zeros nor ones in it and no digit is repeated, where:

The fourth digit is a quarter of the total of all of the digits.
The second digit is twice the first digit.
The third digit is the largest.
The last digit is the sum of the first two digits.

Answer: 24976.

Remember the question stated that the number contained no zeros nor ones