Houghton Mifflin Harcourt Algebra 1, 2015
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Houghton Mifflin Harcourt Algebra 1, 2015 View details
1. Solving Equations
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Exercise 24 Page 10

Write an equation to solve for the unknown value.

9 years old.

Practice makes perfect

In this exercise, the age of Maggie is related to the age of her brother. The sum of their ages is given, and we need to use it to determine their age separately. We can rewrite the given information as algebraic expressions to create an equation for their ages.

Given Information Algebraic Expression
Maggie's age m
Age of her brother 2m-3
The sum of their ages is 24, and Maggie's brother is 3 years younger than twice her age 24 = 2m-3 + m

Now that we have the equation we can solve it for m, Maggie's age.

24 = 2m-3 + m
24 = 3m - 3
24 + 3 = 3m - 3 + 3
27 = 3m
27/3= 3m/3
9 = m
m = 9

Therefore, Maggie is 9 years old.