SOLUTION: Maggie's brother is 3 years younger than twice her age. The sum of their ages is 24. How old is Maggie?

Question 982901: Maggie's brother is 3 years younger than twice her age. The sum of their ages is 24. How old is Maggie?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!

Let x be the Maggie's age and y be her brother's age.

Then you have two equations:

1. y = 2x -3, and

2. x + y = 24.

So, you need to solve the system of two linear equations in two unknowns

.

Express y from the second equation y = 24 - x and substitute it into the first equation. You will get

24 - x = 2x - 3.

Simplify it step by step:

24 + 3 = 2x + x,

27 = 3x,

x = = 9.

Answer. Maggie is 9 years old.

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