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March 29, 2017

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Sara is 24 years younger than Joe. Six years ago she was half as old as he was. How old is he now?

  • Pre-algebra - ,

    present age:
    Joe --- x
    Sara --- x-24

    Six years ago:
    Joe ---- x-6
    Sara --- x-24 - 6 = x - 30

    x - 30 = (1/2)(x-6)
    times 2
    2x - 60 = x - 6
    x = 54

    Joe is now 54 , and Sara is now 30

    check:
    six years ago , Joe was 48 , and Sara was 24
    Was he twice as old as Sara ??? YES

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