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10 votes
Maggie's brother is three years younger

than twice her
age. The sum of their
ages
is 24. How old is Maggie?

User Gergely M
by
5.8k points

1 Answer

2 votes

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

We solve the system of equations.

For this, we use substitution:

From here, we clear the value of x:

Answer:

Maggie is 9 years old

User Consty
by
6.1k points