Answer:
[tex]\huge\boxed{\text{Maggie = 6 years, Brother = 21 years}}[/tex]
Step-by-step explanation:
We can create two equations based on the word problems, where [tex]m[/tex] is Maggie's age and [tex]b[/tex] is her brother's age.
[tex]m + b = 27[/tex]
[tex]b = 4m - 3[/tex]
We can now substitute [tex]4m-3[/tex] in as [tex]b[/tex] into [tex]m+b=27[/tex].
[tex]m + (4m-3) = 27\\\\5m - 3 = 27\\\\5m = 30\\\\m = 6[/tex]
Now that we know the value of [tex]m[/tex], we can substitute it into [tex]m+b=27[/tex].
[tex]6 + b = 27\\\\b = 27-6\\\\b = 21[/tex]
Hope this helped!
