Given data:
The age of George in terms of Anthony age is G=A+4.
The given age of Anthony in terms of sylvia is A=S+3.
The combined age is A+G+S=234.
The age of George in terms of Sylvia is,
G=(S+3)+4
=S+7
Substitute the above value and given value in the combined age.
S+3+S+7+S=234
3S+10=234
3S=224
S=224/3
George age is
7+224/3=245/3
Anthony age is,
A=3+224/3
=233/3
Thus, the age of George is 245/3, Anthony is 233/3, and Sylvia is 224/3.