Mathematics

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?
plz help bros.

1 Answer

  • Answer:

    Judy is 16 years old

    Step-by-step explanation:

    J = Judy's age

    A = Adams age

    J = 2A

    Six years ago   (subtract 6 from the ages)

    (J-6) = 5*(A-6)

    Distribute

    J-6 = 5A - 30

    Substitute J = 2A

    2A -6 = 5A -30

    Subtract 2A from both sides

    2A-2A -6 = 5A-2A -30

    -6 = 3A -30

    Add 30 to each side

    -6+30 = 3A-30+30

    24 = 3A

    Divide by 3

    24/3 = 3A/3

    8 = A

    Adam is 8 years old now

    We need to find Judy's age

    J = 2A

    J = 2*8

    J = 16

    Judy is 16 years old

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