There are $23$ steps to reach a temple. On descending from the temple Ram takes two steps, at a time, even as Shyam ascends one steps. If they start simultaneously, at which step will they meet each other

9th

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Solution

The correct option is A 8th
We assume that Ram and Shyam, descends and ascends respectively $x$ times.
$∴$ Total number of steps $= [(x \times No. of descending Steps) + x (No. of ascending steps) - 1]$
$\Rightarrow 23 = [(x \times 2 + x \times 1) - 1] = 3 x - 1$
$\Rightarrow x = \frac{23 + 1}{3} = 8$

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There are 23 steps to reach a temple. On descending from the temple Ram takes two steps, at a time, even as Shyam ascends one steps. If they start simultaneously, at which step will they meet each other

The correct option is A 8thWe assume that Ram and Shyam, descends and ascends respectively x times.∴ Total number of steps =[(x×No. of descending Steps)+x(No. of ascending steps)−1]⇒23=[(x×2+x×1)−1]=3x−1⇒x=23+13=8

There are $23$ steps to reach a temple. On descending from the temple Ram takes two steps, at a time, even as Shyam ascends one steps. If they start simultaneously, at which step will they meet each other