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Dorothy is half her sister's age. She will be three-fourths of her sister's age in 20 years. How...

Question:

Dorothy is half her sister's age. She will be three-fourths of her sister's age in 20 years.

How many years old is she?

Forming Algebraic Equations:

In algebra, algebraic equations are statements that show equality between two algebraic expressions. For example, if we say that the length of a rectangle is two times more than its width, then we can write this as {eq}l = 2w {/eq}, where {eq}l {/eq} is the length and {eq}w {/eq} is the width.

Answer and Explanation: 1

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Let Dorothy's sister age be {eq}x {/eq} years. If Dorothy is half of her sister's age, then Dorothy's age is:

  • {eq}\dfrac{1}{2}x {/eq}

In 20...

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Writing Equations from Word Problems | Overview & Examples

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Chapter 24 / Lesson 3
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Writing equations from word problems is easy when one knows how to interpret them. Learn how to interpret addition word problems and change them into mathematical expressions.


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