Greetings!
Let [tex]m[/tex] represent Maggie's age.
Let [tex]3m-4[/tex] represent Maggie's brother's age.
Equation:
[tex](3m-4)+(m)=52[/tex]
Solve for m.
[tex]4m-4=52[/tex]
Add 4 to both sides.
[tex](4m-4)+4=(52)+4[/tex]
[tex]4m=56[/tex]
Divide both sides by 4.
[tex](4m)/4=(56)/4[/tex]
[tex]m=14[/tex]
Maggie is 14 years old and her brother is 38 years old(14*3-4).
Hope this helps.
-Benjamin
