In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now?
Thoughts? Step-by-step reasoning:
If Grant is currently 25 years old, he will be 25 + 5 = 30 years old in five years. If 2 / 3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1 - 2 / 3 = 1 / 3. If 2 / 3 represents 30 years, 3 / 3, which is the fraction representing the age of the hospital, represents 3 / 3 * 30 * 3 / 2 = 45 years. Currently, the hospital is 45 - 5 = 40 years old.
Thus, the answer is 40.