One stick is 9cm longer than the other 2/5 of the longer stick is equal to 1/2 of the shorter stick. Find the length of the longer stick​

Question

One stick is 9cm longer than the other 2/5 of the longer stick is equal to 1/2 of the shorter stick. Find the length of the longer stick​

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Thành Đạt 5 months 2021-08-24T00:51:05+00:00 1 Answers 0 views 0

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    2021-08-24T00:52:07+00:00

    Answer:

    Length of the longer stick = 45 cm

    Step-by-step explanation:

    Let the length of shorter stick be x cm

    Therefore, length of longer stick = (x + 9) cm

    According to the given information:

     \frac{2}{5} (x + 9) =  \frac{1}{2} x \\  \\ 2 \times  \frac{2}{5} (x + 9) =  x \\  \\ 4(x + 9) = 5x \\  \\ 4x + 36 = 5x \\  \\ 36 = 5x - 4x \\  \\ 36 = x \\  \\ x + 9 = 36 + 9 = 45 \\

    Length of the longer stick = 45 cm

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