Question

Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.

Answer 1

Greetings!

Let
`m` represent Maggie's age.
Let
`3m-4` represent Maggie's brother's age.

Equation:

`(3m-4)+(m)=52`
Solve for m.

`4m-4=52`
Add 4 to both sides.

`(4m-4)+4=(52)+4`

`4m=56`
Divide both sides by 4.

`(4m)/4=(56)/4`

`m=14`

Maggie is 14 years old and her brother is 38 years old(14*3-4).

Hope this helps.
-Benjamin