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Ben is \(3\) times as old as Daniel and is also \(4\) years older than Daniel.How old is Daniel?
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Q. Ben is \(3\) times as old as Daniel and is also \(4\) years older than Daniel.How old is Daniel?
- Problem Description: Let's denote Daniel's age as and Ben's age as . According to the problem, Ben is times as old as Daniel and also years older than Daniel. We can write two equations based on this information:. (Ben is times as old as Daniel). (Ben is years older than Daniel)
- Equations: Since both expressions are equal to , we can set them equal to each other to find the value of :
- Setting Equations Equal: Now, we will solve for by subtracting from both sides of the equation:
- Solving for D: Next, we divide both sides of the equation by to solve for D:
- Substituting : We have found that Daniel's age is years old. To check our work, we can substitute back into the original equations to ensure they hold true:Both equations give us the same age for Ben, which confirms our solution is correct.
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