Same Same

A Maths Starter of The Day

Tyler and Alyssa

Tyler and Alyssa are both the same age.

Tyler multiplied his age by five, subtracted three then multiplied the answer by three.

Alyssa multiplied her age by fourteen then added five

Tyler and Alyssa arrived at the same answer as each other.

How old are Tyler and Alyssa?


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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This starter has scored a mean of 4.0 out of 5 based on 81 votes.


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Answer

Let Tyler and Alyssa be x years old.

3(5x - 3) = 14x + 5

15x - 9 = 14x + 5

x = 14

Tyler and Alyssa are both fourteen years old.

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