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.​

Answer 1

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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