Question

if (10x + 5):(42x + 5) is triplicate ratio for 5:8 ,find x^3.​

Answer 1

Correct question :

If (10x + 5):(42x + 8) is triplicate ratio for 5:8 ,find x^3.

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x^{3}=1728}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies \frac{10x + 5}{42x + 8} = ( \frac{5}{8} )^{3} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies value \: of \: {x}^{3} = ?$

• According to given question :

$\bold{As \: from \: given \: relation} \\ \tt: \implies \frac{10x + 5}{42x + 8} = (\frac{5}{8} )^{3} \\ \\ \tt: \implies \frac{10x + 5}{42x + 8} = \frac{125}{512} \\ \\ \tt: \implies (10x + 5) \times 512 = (42x + 8) \times 125 \\ \\ \tt: \implies 5120x + 2560 = 5250x + 1000 \\ \\ \tt: \implies 2560 - 1000= 5250x - 5120x \\ \\ \tt: \implies 130x = 1560$

$\tt: \implies x = \frac{1560}{130} \\ \\ \green{\tt: \implies x = 12} \\ \\ \bold{For \: finding \: value : } \\ \tt: \implies {x}^{3} \\ \\ \tt: \implies {12}^{3} \\ \\ \green{\tt: \implies {x}^{3} = 1728}$

Answer 2

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$\boxed{Explained\:Answer}$

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