Assume that the two numbers are x and y.
We are given that:
1- Their sum is 66, this means that:
x+y = 66 .......> equation I
This can be rewritten as:
x = 66-y ........> equation II
2- Their difference is 8, this means that:
x-y = 8.......> equation III
Substitute with equation II in III to get y as follows:
x-y = 8
66-y-y = 8
66-2y = 8
66-8 = 2y
58 = 2y
y = 29
substitute with y in equation II to get x as follows:
x = 66-y = 66-29 = 37
based on the above calculations, the two numbers are 29 and 37
