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17 December, 11:15

Tim is k years old and Jennifer is 4 years younger than Tim. Find their average age in 3k years' time, in terms of k.

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  1. 17 December, 13:10
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    Write both Tim and Jennifer's age in terms of k

    Tim = k

    Jennifer = k - 4

    Now in 3k years

    Tim = k + 3k

    Jennifer = k - 4 + 3k

    Simplify

    Tim = 4k

    Jennifer = 4k-4

    Now to find average

    (Tim + Jennifer) / 2

    Plug in

    (4k + 4k-4) / 2

    (8k-4) / 2

    Simplify

    4k-2

    I hope this is what you're looking for!
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