40 is divided in two parts such that 1/5rd of first in
equal to the 1/3rd of the second
number. It first number is X.

Question

40 is divided in two parts such that 1/5rd of first in
equal to the 1/3rd of the second
number. It first number is X.
Then the equation for this is.​

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Cora 2 months 2021-08-02T02:30:01+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-02T02:31:55+00:00

    Answer:

     \frac{x}{5}  +  \frac{40 - x}{3}

    Step-by-step explanation:

    First number = x

    Second number = 40 – x

     \frac{1}{5} x +  \frac{1}{3} ( \frac{40 - x}{3} ) =  \frac{x}{5}  +  \frac{40 - x}{3}

    If we solve this equation we get the numbers as 25 and 15.

    \frac{x}{5}  +  \frac{40 - x}{3}   \\ 3x + 5(40 - x) = 3x + 200 - 5x \: (by \: cross \: multiplication) \\ 3x + 5x = 200 \\ 8x = 200 \\ x =  \frac{200}{8}  = 25 \\ 40 - x = 40 - 25 = 15

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