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10 July, 07:24

Paul is six years older than Gary.

The sum of their ages is 30.

What are their ages?

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Answers (1)
  1. 10 July, 10:29
    0
    Answer: Paul is 18 years old and Gary is 12 years old.

    Step-by-step explanation:

    Let x represent the age of Paul.

    Paul is six years older than Gary. This means that Gary's age would be

    x - 6

    The sum of their ages is 30. This means that

    x + x - 6 = 30

    2x - 6 = 30

    Adding 6 to the left hand side and the right hand side of the equation, it becomes

    2x - 6 + 6 = 30 + 6

    2x = 36

    Dividing the left hand side and the right hand side of the equation by 2, it becomes

    2x/2 = 36/2

    x = 18

    Therefore, Paul is 18 years old.

    Gary is 18 - 6 = 12 years old.
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