Answer: John's sister is 56 years old.
Explain
Let’s represent the age of John's sister with the variable "x". According to the problem, John is 7 years older than half of his sister’s age, so this can be written as:
35 = x/2 + 7
We can first subtract 7 from both sides to isolate the expression for x/2:
28 = x/2
Then multiply both sides by 2 to isolate the value of x:
x = 56
John's sister is 56 years old.