Six more than one-fourth of a number is two-fifth of the same number. Then the number is

30

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40

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50

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60

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Solution

The correct option is A $40$
$6 + \frac{x}{4} = \frac{2}{5} x$
$\frac{2}{5} x - \frac{x}{4} = 6 \Rightarrow \frac{8 x - 5 x}{20} = 6 \Rightarrow \frac{3 x}{20} = 6 \Rightarrow x = 40$

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