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Example #2: Solving a word problem about Brian and Charlie's ages using algebra.

A math word problem example showing Brian is twice as old as Charlie, with equations for their ages in three years summing to 33, displayed on a slide with text and a person writing in the background.

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Show Answer Key & Explanations Step-by-step solution for: Using Equations to Solve Age Problems in Math Video

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- Let Charlie's current age be `c`.
- Since Brian is twice as old as Charlie, Brian's current age is `2c`.
- In three years, Charlie will be `c + 3` and Brian will be `2c + 3`.
- The sum of their ages in three years is given as 33: `(c + 3) + (2c + 3) = 33`.
- Combine like terms: `3c + 6 = 33`.
- Subtract 6 from both sides: `3c = 27`.
- Divide by 3: `c = 9`.
- So, Charlie is 9 years old today.
- Brian is `2 * 9 = 18` years old today.

Parent Tip: Review the logic above to help your child master the concept of age problems worksheet.

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