Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?

Question

Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?

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Brielle 2 weeks 2022-01-10T22:13:10+00:00 1 Answer 0 views 0

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    2022-01-10T22:14:19+00:00

    Answer:

    Step-by-step explanation:

    Let Adam be x

    Let Judy be 2x

    their age 6 years ago would be their age now minus 6

    so adam is x-6 and judy is 2x-6

    it says that 5 years ago Judy was 5 times adams age. so that means 6 years ago judy was (x-6)*5

    judys age 6 years ago was 2x-6

    so that means 2x-6=(x-6)5

    2x-6=5x-30

    2x+24=5x

    24=3x

    x=8

    so adam is 8.

    Then Judies age is 8*2 which is 16 years old.

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