high shoool algebra

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Joy is 20 years older than Bob. Three years ago, Joy was 5 times as old as Bob. How old are they now?

  • high shoool algebra -

    ages now:
    Bob ---- x
    Joy -----x+20

    ages 3 years ago:
    Bob --- x-3
    Joy ---- x+20 - 3 = x+17

    at that time, Joy was 5 times as old as Bob
    ---> x+17 = 5(x-3)

    x+17 = 5x - 15
    -4x = - 32
    x = 33/4 = 8

    Bob is now 8 years, Joy is 28

    Three years ago, Bob was 5 ,and Joy was 25
    Was she 5 times as old as Bob, YES!!

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