Math

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1)one number is four more than a second number. Twice the second is three more than the first. Find the numbers.

2)four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.

  • Math -

    let one number (the first ) be x
    let the second number by y

    Just translate the English into Math , after all Math is just a language
    "one number is four more than a second number" ---> x = y+4

    "Twice the second is three more than the first" ---> 2y = x+3

    so lining them up
    x - y = 4
    x - 2y = -3
    subtract:
    y = 7
    then from x = y+7
    x = 11

    The first number is 11, the second is 7

    check:
    is 11 four more than 7 ? YES
    is twice 14 three more than 11 ? YES
    I am right!!!

    Try the second the same way, show me your work

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