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Word problems based on quadratic equations - class-X

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Multiple Choice

Two years ago Sam's age was $\displaystyle 4 \frac{1}{2}$ times the age of his son. Six years ago, his age was twice the square of the age of his son. What is the present age of Sam's son ?

  1. $20$
  2. $10$
  3. $15$
  4. $13$