XMS 2EM WA2 2021 Q5

XMS 2EM WA2 2021 Q5

Secondary 2
5 marks

Aqil's father is \(x^{2}\) years old while Aqil is \(x\) years old now. In \(5x\) years' time, Aqil's father is twice as old as him.

  1. Form an equation in \(x\) and show that it reduces to \(x^{2}-7x=0\) .[2]
  2. Solve the equation \(x^{2}-7x=0\) .[2]
  3. Hence, find the age of Aqil's father now.[1]

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Answer:(a) \(x^2+5x=2(6x)\), hence \(x^2-7x=0\) (b) \(x=0\) or \(x=7\) (c) \(49\) years old

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