ANSWER
Sharla(x) is 55 and Patricia(y) is 47
Work:
EQUATIONS
y = x + 8
x + y = 102
REASONING
then substitute the like terms "y"...you should get...
2y + 8 = 102
then subtract 8 from both sides ...leaving you with...
2y = 94
then divide
your y should be 47
then subtract 47 from 102 and you get Sharla's age, which is 55