Question

Divide 42 into two parts in such a way that 4/5 of one part equal to 3/5th of the other

Answer 1

Let parts are x and (42 - x)


According to the question :



$( \frac{4}{5} \: \: \: of \: \: x) = (\frac{3}{5} \: \: of \: (42 - x)) \\ \\ \\ \frac{4x}{5} = \frac{3(42 - x)}{5} \\ \\ \\ 4x = 3(42 - x) \\ \\ \\ 4x = 126 - 3x \\ \\ \\ 4x + 3x = 126 \\ \\ \\ 7x = 126 \\ \\ \\ x = \frac{126}{7} \\ \\ \\ x = 18$


Parts are x = 18 and 42 - 18 = 24






I hope this will help you


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Answer 2

Heya ✋

Let the first part be x. Then,

other part = (42 - x).

According to question ,

$\frac{4x}{5} = \frac{3(42 - x)}{5} \\ \\ = > \frac{4x \times 5}{5} = 126 - 3x \\ \\ = > 4x = 126 - 3x \\ \\ = > 4x + 3x = 126 \\ \\ = > 7x = 126 \\ \\ = > x = \frac{126}{7} \\ \\ = > x = 18$


Hence , first part = 18 and

second part = (42 - 18) = 24.

Thanks :)))))