I'm not familiar with the c++ file streams. If you don't need the string really, it is easy:

Code:
for (i=1; i<=10; i++) 
{ 
   b_file >> TempA[i] >> TempB[i];
}
But if you really need the string it gets trickier:
Code:
char Line[10][10];  // 10 strings of 10 characters each
char* secNum;  // pointer to the second number

for (i=1; i<=10; i++) 
{ 
//The code in here must input Line of file into Line[i] string 
  b_file >> Line[i];
// the code in here must split Line[i] into TempA[i] (this is the first // number of the line) and TempB[i] (this is the second number of // the line) with " " as the delimeter 
  TempA[i] = atoi(Line[i]);  // first number
  secNum = strtok(Line[i], " ");  // find space
  TempB[i] = atoi(secNum);  // second number
}