Question

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

Answer 1

Answer:

Maggie is 11 years old

Step-by-step explanation:

let m be Maggie and b be her brother.

$m+b=59$

$b=4m-6$

substitute for b.

$m+4m-6=59$

$5m-6=59$

add 6 to both sides

$5m=55$

divide by 5 on both sides

$m=11$

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

$11+b=59$

$b=48$