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3 marksWord Problems (Linear and Quadratic Equations/Inequalities)

CSEC Mathematics · 2021 · Paper 2 · Question 2(b)(ii)

Ally is x years. Jim is 5 years older than Ally and Chris is twice as old as Ally.

In two years' time, the product of Ally's age and Chris' age will be the same as the square of Jim's present age. Show that the equation x^2 - 4x - 21 = 0 represents the information given above.

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Other parts of this question

  1. 2(a)(i)Find the value of n when T = 49.[1 mark]
  2. 2(a)(ii)Make T the subject of the formula.[1 mark]
  3. 2(b)(i)Write expressions in terms of x for Jim's age and Chris' age.[2 marks]
  4. 2(b)(iii)Calculate Ally's present age.[2 marks]

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