contestada

Maggie's brother is 6 years younger than four times her age. The sum of their ages is
59.
How old is Maggie?
Maggie is
years old.

Respuesta :

leemasktheslumpgod

Answer:

Maggie is 11 years old

Step-by-step explanation:

let m be Maggie and b be her brother.

[tex]m+b=59[/tex]

[tex]b=4m-6[/tex]

substitute for b.

[tex]m+4m-6=59[/tex]

[tex]5m-6=59[/tex]

add 6 to both sides

[tex]5m=55[/tex]

divide by 5 on both sides

[tex]m=11[/tex]

double check by finding the brother's age by substituting for m

[tex]11+b=59[/tex]

[tex]b=48[/tex]

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