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My sister is 3 times as old as I am. Five years from now, she will be twice as old as I will be. How many years old is my sister now?

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  • samrya8808

    Lets assume present ages as below:
    Me: M
    Son: S

    5 years ago, I was 3 times as old as my son
    M-5 = 3(S-5)
    M-5=3S-15
    M-3S=-10...........1

    5 years hence, I will be twice as old as him,
    M+5=2(S+5)
    M+5=2S+10
    M-2S=5.............2

    equation 2-1
    (M-2S) - (M-3S) = 5 - (-10)
    S=15

    If S=15, M=35
    hope this helps