There are no whole numbers that fit that request. The factor pairs of 64 are (64,1)(32,2)(16,4)(8,8)
None of them add up to 25.
84
+25 and -2
The numbers are 3 and 25
-375
25
77
-239
-1
4 and 25
-25
25
The numbers are: (25 +sq rt of 817)/2 and (25 -sq rt of 817)/2