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Understanding Age Ratios: Omar and Carmen's Future Ages

Omar is 15 years old and his sister Carmen is 9 years old. In three years, Omar will be 18 and Carmen will be 12. To find the ratio of their ages, we can express this as 18:12. To simplify, we can divide both terms by their greatest common factor, which is 6, resulting in a ratio of 3:2. This means that in three years, for every 3 years of Omar's age, Carmen will be 2 years. It’s important to check our work to confirm that the solution logically answers the initial question regarding their future age ratio.

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Understanding Age Ratios: Omar and Carmen's Future Ages

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  1. 7-1 Lesson 7-1 Example 4 Solve. AGES Omar is 15 years old, and his sister Carmen is 9 years old. In three years, what will be the ratio of Omar’s age to Carmen’s age? Understand Read the problem. Write what you know. Omar is 15 years old. Carmen is 9 years old. In three years, Omar will be 18years old, and Carmen will be 12years old.

  2. 7-1 Lesson 7-1 Example 4 Plan Pick a strategy. One strategy is to solve a simpler problem.

  3. 7-1 Lesson 7-1 Example 4 Solve First, write the ratio of their ages in three years. To write the ratio in simplest form, divide the numerator and denominator by a common factor. Divide the numerator and denominator by 3.

  4. 7-1 Lesson 7-1 Example 4 Is there still a common factor? yes Divide the numerator and denominator by 2. Is there still a common factor? no Write the ratio in simplest form. or 3:2

  5. 7-1 Lesson 7-1 Example 4 Check Does the answer make sense? Look over your solution. Did you answer the question?

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