Answer
There are ten ways a computer can generate two integers whose sum is 12.
Work Step by Step
First way: $1+11=12$
Second way: $2+10=12$
Third way: $3+9=12$
Fourth way: $4+8=12$
Fifth way: $5+7=12$
Sixth way: $7+5=12$
Seventh way: $8+4=12$
Eighth way: $9+3=12$
Nineth way: $10+2=12$
Tenth way: $11+1=12$