It is given in the queston that
Henry is four years older than half Linda’s age. Linda is 10 yeard old .
First we have to find the half of Linda's age that is half of 10 .
Half of Linda's age is half of 10 that is 5.
And 4 year older's than half Linda's age is 4 more than 5 that is 9 .
So if Linda's age is 10 years, than Henry's age is 9 years and the correct option is the first option .