SOLUTION: a man is 22 years older than his son in 8 years the sum of their ages will be 102 how old is each

The literal translation of the condition to the Math equations is THIS:

M = S + 22             (1)
(M+8) + (S+8) = 102    (2)


Substitute (1) into equation (2), replacing M. You will get

((S+22)+8) + (S+8) = 102,

2S + 22 + 8 + 8 = 102

2S = 102 - (22 + 8 + 8)

2S = 64  ====>  S =  = 32.


Answer.  The son is 32 years old.   The man (the father) is 22 years older :  32 + 22 = 54.