Same Same

A Maths Starter of The Day

Richard and Aaliyah

Richard and Aaliyah are both the same age.

Richard multiplied his age by two, subtracted four then multiplied the answer by four.

Aaliyah multiplied her age by seven then added two

Richard and Aaliyah arrived at the same answer as each other.

How old are Richard and Aaliyah?


Topics: Starter | Algebra | Simultaneous Equations

  • Transum,
  • Tuesday, April 29, 2014
  • "It can be seen from the mean score this page has received that it is quite popular and 'achieved the results I required'. It is not clear however whether it is more popular with the younger children who might even use a trial and improvement strategy or whether it is more popular with older pupils who realise that they can use the techniques learned in algebra to solve this problem."

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Answer

Let Richard and Aaliyah be x years old.

4(2x - 4) = 7x + 2

8x - 16 = 7x + 2

x = 18

Richard and Aaliyah are both eighteen years old.

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