Sally's grandfather is 67 and Sally is 19. At what age will Sally be exactly 1/3 of her grandfathers age? How old will her grandfather be then?

In x years:

19+x=(67+x)/3
solve for x.

To determine at what age Sally will be exactly 1/3 of her grandfather's age, we can use algebraic equations.

Let's assume that Sally's age at that time will be x, and her grandfather's age will be y.

According to the given information:
Sally's grandfather is currently 67 years old, which we can represent as y = 67.
Sally is currently 19 years old, which can be represented as x = 19.

To find the age at which Sally will be exactly 1/3 of her grandfather's age, we need to solve the equation:

x = (1/3) * y

Substituting the values we already know:

19 = (1/3) * 67

Now, we can solve for x by multiplying both sides of the equation by 3:

3 * 19 = 67

57 = 67

This equation is not true, which means there is no age at which Sally will be exactly 1/3 of her grandfather's age.

As a result, we cannot determine how old Sally and her grandfather will be in this scenario.