Vatha & Chris Ages: Solve to Find Out How Old They Are Now

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The ages of Vatha and Chris can be determined using algebraic equations based on the information provided. The sum of their current ages is 36, represented as V + C = 36. In four years, the equation (V + 4) + (C + 4) equals twice Vatha's current age, leading to the equation 44 = 2V. Solving these equations reveals Vatha is 22 years old and Chris is 14 years old.

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Q: The sum of the present ages of Vatha and Chris is 36. In 4 years time, the sum of their ages will equal twice Vatha's present age. How old are they now?A: Vatha:22, Chris: 14 (from the back of the textbook, only I'm not sure how to get here)I'm a little stuck with this one. If you could please help me with it, and how to solve problems like this, I'd be very grateful.
 
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historywept said:
Q: The sum of the present ages of Vatha and Chris is 36. In 4 years time, the sum of their ages will equal twice Vatha's present age. How old are they now?
Denote their present ages by "V" and "C" respectively. The sum of their present ages is V+ C= 36. In 4 years time Vatha's age will be V+ 4 and Chris's age will be C+ 4. The sum of their ages then will be (V+ 4)+ (C+ 4)= V+ C+ 8. And that will be "twice Vatha's present age: V+ C+ 8= 2V. We already know that V+ C= 36 so V+ C+ 8= 36+ 8= 44= 2V.
A: Vatha:22, Chris: 14 (from the back of the textbook, only I'm not sure how to get here)I'm a little stuck with this one. If you could please help me with it, and how to solve problems like this, I'd be very grateful.
 

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