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There is a number consisting of two digits, the digit in the units place is twice that in the tens place and if 2 be subtracted from the sum of the digits, the difference is equal to $1 / 6^{t h}$ of the number. The number is

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answer is D.

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Detailed Solution

Number $= x y$

$\begin{array}{l} \Rightarrow y = 2 x \\ x + 2 x - 2 = \frac{1}{6} (10 x + 2 x) \Rightarrow x = 2 \Rightarrow y = 4 \end{array}$

$∴$ Number $= 24$

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