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16 March, 08:08

My current age is 4 times what my sister's age was 20 years ago. i am now twice as old as i was 20 years ago. ten years ago, my sister's age was 1/2 of my current age. ten years ago, my age was 1.5 times my sister's age. what is my current age?

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  1. 16 March, 09:25
    0
    Current age is 40. I think the key is in the second sentence
  2. 16 March, 09:34
    0
    Let y = your current age

    Let s = sister's current age

    :

    Write an equation for each statement, simplify as much as possible:

    "my current age is 4 times what my sisters age was 20 years ago."

    y = 4 (s-20)

    y = 4s - 80

    " I am now twice as old as i was 20 years ago."

    y = 2 (y-20)

    y = 2y - 40

    40 = 2y - y

    y = 40 yr, your present age

    Right here you know enough to solve this

    40 = 4s - 80

    40 + 80 = 4s

    s = 120/4

    s = 30 is the sisters age
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