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Richard and Teo have a combined age of 26 Richard is years 8older than twice​ Teo's age. How old are Richard and​ Teo?

2 Answers

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Math is not only about the answer it is about getting the method.

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1. Let's assume Teo's age is x.

2. According to the problem, Richard is 8 years older than Teo's age, which means Richard's age can be represented as 2x + 8.

3. The problem states that the combined age of Richard and Teo is 26. So, we can write the equation as follows: x + (2x + 8) = 26.

4. Simplifying the equation, we get 3x + 8 = 26.

5. Subtracting 8 from both sides of the equation, we have 3x = 18.

6. Dividing both sides of the equation by 3, we find that x = 6.

7. Now that we know Teo's age is 6, we can substitute this value into Richard's age equation: 2(6) + 8 = 12 + 8 = 20.

Therefore, Teo is 6 years old and Richard is 20 years old.

Explanation:

User Paul Hedderly
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Answer:

r + t = 26

r = 2t + 8

2t + 8 + t = 26

3t = 18

t = 6, r = 20

Richard is 20 years old, and Teo is 6 years old.

User Jonathan Feenstra
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8.2k points