Question

divid 60 into three parts such that fist will be 3/4of the second and the second will be 4/5 of the third​

Answer 1

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$Let \: the \: third \: part \: be \: x$

$So,$

$Second \: part \: \implies \: \frac{4}{5} x$

$First \: part \: \implies \frac{3}{4} \times \frac{4}{5} x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \frac{3}{ \cancel{4}} \times \frac{ \cancel{4}}{5} x \\ \: \: \: \: \: \: \: \: \: \: \: \implies \frac{3}{5} x$

$A.t.q ,$

$\implies x + \frac{4}{5} x + \frac{3}{5} x = 60$

$\implies \frac{5x + 4x + 3x}{5} = 60$

$\implies \frac{5x + 7x}{5} = 60$

$\implies \frac{12x}{5} = 60$

$\implies 12x = 60 \times 5$

$\implies x = \frac{60 \times 5}{12}$

$\implies x = \frac{ \cancel{60} \times 5}{ \cancel {12}}$

$\implies x = 5 \times 5$

$\implies x = 25$

$Hence ,$

$Third \: part \implies x = 25$

$Second \: part \implies \frac{4}{5} x \\ \implies \frac{4}{5} \times 25 \\ \implies \frac{100}{5} \\ \implies \frac{ \cancel{100}}{ \cancel{5}} \\ \implies 20$

$First \: part \implies \frac{3}{5} x \\ \implies \frac{3}{5} \times 25 \\ \implies \frac{75}{5} \\ \implies \frac{ \cancel{75}}{ \cancel{5}} \\ \implies 15$

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