So first we were to told that the sum of 2 numbers add to 19
a+b=19---------(1)
and they subtract to 5
a-b=5-----------(2)
These are two simultaneous equation and can be solved by elimination:
(1) + (2):
(a+b)+(a-b)=19+5
2a=24
a=12
12+b=19
b=7
So the two numbers are 12 and 7
