The number 94 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers? Pick one:
A) 9 B) 14 C) 15 D) 18 E) 20
The only possible sum for 4 different squares of an integer with total sum number is 95 are :   48 + 36 + 9 + 1 = 95 which are the square from numbers :8, 6, 3, 1 (total sum number is 16)   or   80 + 9 + 4 + 1 = 95 which are the square from numbers : 9, 3, 2, 1 (total sum number is 14)   hence the answer is (14)
<result>B</result>
The number 94 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?