Answer:
40 years old.
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.