Answer:
[tex]\huge\boxed{\text{Alvin = 15, Elga = 30}}[/tex]
Step-by-step explanation:
In order to find Alvin and Elgas age, we can use a system of equations.
Let us assume that [tex]a[/tex] represents Alvin's age and [tex]e[/tex] represents Elgas age.
We can create two equations:
[tex]a = e-15[/tex]
[tex]a+e=45[/tex]
We can now use substitution to find each value. Let's substitute [tex]a = e-15[/tex] into [tex]a+e=45[/tex] as a.
[tex](e - 15) + e = 45[/tex]
We can now simplify this equation and solve for e.
[tex]2e-15 = 45\\2e = 60\\e = 30[/tex]
So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for [tex]a+e=45[/tex].
[tex]a + 30 = 45\\a = 45-30\\a=15[/tex]
So Elga is 30 years old and Alvin is 15 years old.
Hope this helped!
