Solve for w, b, and r using the proportions from part A. Show your work.

40 years old.

Step-by-step explanation:

We can let Elga's age equal . Alvin's age can be equal to . We can make several equations from the information we know. We know that Elga's age plus five equal's Alvin's age.

We also know that the sum of their ages is 85.

We can substitute for in the second equation since , so we have the following equation:

We can combine like terms to get

Subtracting 5 from both sides results in

After that, we can divide both sides by 2 to get

Thus, Elga is 40 years old.