Given:
Yamir is twice as old as Pato.
In three years, the sum of their ages will be 30.
Pato's current age is represented by [tex]a[/tex].
To find:
The equation that could be used to correctly solve for [tex]a[/tex].
Solution:
We know that, Pato's current age is represented by a, then
Yamir's age = [tex]2a[/tex]
After three years,
Pato's age = [tex]a+3[/tex]
Yamir's age = [tex]2a+3[/tex]
In three years, the sum of their ages will be 30.
[tex](a+3)+(2a+3)=30[/tex]
[tex](a+2a)+(3+3)=30[/tex]
[tex]a+2a+6=30[/tex]
Therefore, the correct option is 2.
