Alvin is 12 years older than Elga. The sum of their ages is 96. What is Elga's age?
2 Answers
Elga's age is 42
Explanation:
Let Elga's age be
is an equation explaining the statement:
'Alvin is 12 years older than Elga'
is another equation, which explains the statement:
'The sum of their ages is 96'
from
we form an equation of
Substitution:
Elga is
Explanation:
We are working with two people. Write an expression for the age of each. It is easier to use one variable,
Elga is younger, let that age be
Lets Elga's age be
Alvin's age is
the sum of their ages is
So, Elga is