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Jack is 5 years old. His mother is 45 years old. In how many years' time will Jack's mother be 3 times as old as Jack?​

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Answer:

  • After 15 years

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Let it be x years after that Jack's mother will be 3 times as old as Jack.

Set up equation and solve for x:

  • 45 + x = 3(5 + x)
  • 45 + x = 15 + 3x
  • 3x - x = 45 - 15
  • 2x = 30
  • x = 15

After 15 years Jack will be 20 and his mother will be 60 years old.

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