1. Solving Equations
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Write an equation to solve for the unknown value.
9 years old.
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.
Add terms
LHS+3=RHS+3
Add terms
.LHS /3.=.RHS /3.
Calculate quotient
Rearrange equation
Therefore, Maggie is 9 years old.