The values of a and b are a = 1/2 & b = 1/6 and a = 1/2 & b = 1/9
How to determine the values of a and b
from the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
a + b = 7/12
a - b = 5/12
Adding the equations, we have
2a = 1
So, we have
a = 1/2
This means that
b = 7/12 - 1/2
b = 1/6
Next, we have
a + b = 11/18
a - b = 7/18
So, we have
2a = 1
a = 1/2
And
b = 11/18 - 1/2
b = 1/9
Hence, the values of a and b are a = 1/2 & b = 1/6 and a = 1/2 & b = 1/9