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24 September, 00:36

John is four times as old as Martha. Five years ago the sum of their ages was 50. How old are they now?

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  1. 24 September, 02:25
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    John is 48 and Martha is 12

    Step-by-step explanation:

    John is four times as old as Martha or:

    John = 4 * Martha

    j=4m

    Five years ago the sum of their ages was 50 or:

    John - 5 + Martha - 5 = 50

    j-5+m-5=50

    j+m=60

    Substitute Martha for John

    4m+m=60

    5m=60

    m=12

    Martha is 12

    Substitute 12 for Martha

    j+12=60

    j=48

    John is 48

    We can double check this by checking that John is 4 times as old as Martha and that 5 years ago the sum of their ages was 50.

    12*4=48

    48=48

    12-5+48-5=50

    7+43=50

    50=50
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