Answer:
2878
Explanation:
Let "abcd" represent the digits of the number.
a ≠ 0
"The sum of the digits is 25"
a+b+c+d = 25
"The smallest digit is in the largest place"
a < b, c, d
"The largest digit is used twice but not side by side"
The digits of the number are "abcb"
b > a, c
"The smallest digit is ¼ as large as the largest digit"
a = b/4
b = 4 or 8
If b = 4, then a = 1 and c = 25 - a - 2b = 16, which is not a single digit. ∴ b ≠ 4
b = 8
a = b/4 = 2
2+8+c+8 = 25
c = 7
The number is 2878.