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Ishaan is \(3\) times as old as Christopher and is also \(14\) years older than Christopher.How old is Christopher?
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Q. Ishaan is \(3\) times as old as Christopher and is also \(14\) years older than Christopher.How old is Christopher?
- Problem description: Let's denote Christopher's age as and Ishaan's age as . According to the problem, Ishaan is times as old as Christopher and is also years older than Christopher. We can write this as two equations:. (Ishaan is times Christopher's age). (Ishaan is years older than Christopher)
- Equation : Since both expressions are equal to , we can set them equal to each other:
- Equation : Now, we solve for by subtracting from both sides of the equation:
- Setting equations equal: Divide both sides by to find Christopher's age:
- Solving for c: We have found that Christopher is years old. To check our work, we can plug this value back into the original equations to ensure they hold true:Both equations give us the same age for Ishaan, confirming our solution is correct.
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