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Jack is twice as old as he was 5 years ago. His mother was then six times as old as he was. She is now 35 years old.
how old is jack?

  • math -

    5 yrs ago Jack was x years old
    5 years ago his mom was 6x

    now his mom is 6x+5
    and now Jack is x+5

    6x+5 = 35
    6x = 30
    x = 5

    Jack is now 10

    check:
    5 yrs ago: Jack was 5, his mom was 6(5) = 30
    now: Jack is 10, his mom is 6(5) + 5 = 35

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