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27 March, 04:21

If a number is added to the numerator of 4/9 and the same number is subtracted from the denominator the result is - 9. find the number

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  1. 27 March, 05:46
    0
    (4+n) / (9-n) = - 9

    4+n=-9 (9-n)

    4+n=-81+9n

    4+81=9n-n

    85=8n

    n=85/8=80/8+5/8=10+5/8
  2. 27 March, 07:39
    0
    What a delightful little problem!

    You said that (4 + x) / (9 - x) = - 9

    Multiply each side by (9 - x) : (4 + x) = - 9 (9 - x)

    Eliminate parentheses: 4 + x = - 81 + 9x

    Add 81 to each side: 85 + x = 9x

    Subtract 'x' from each side: 85 = 8x

    Divide each side by 8 : 85/8 = x (or 10.625)
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