Question

After travelling a distance of 45 km, aryan found that 3/8 distance of journey was still left . What was the length of his journey

Answer 1

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Answer 2

Answer:

$\boxed{\underbrace{72}}$

Step-by-step explanation:

Let length of whole journey be $x$ km

Now remaining journey = $\frac{3}{8} \times x$

$\Longrightarrow x - 45 = \frac{3x}{8} \\\\\Longrightarrow x - \frac{3x}{8} = 45\\\\\Longrightarrow \frac{3x}{8} = 45\\\\\Longrightarrow \frac{x}{8} = 9 (\bold{cancelled} \bold{by 9})\\\\\\\Longrightarrow x = 9 \times 8 \\\\\Longrightarrow x = 72$

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