Question 1122004: 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(52781) (Show Source):
Let x be the Maggie age.
Then the brother's age is (2x-3) years.
The condition says
x + (2x-3) = 24, or
x + 2x - 3 = 24,
3x = 24 + 3,
3x = 27,
x = 27/3 = 9.
Answer. Maggie is 9 years old.