When a number is subtracted from 2, the result equals 2 less than one-fifth of the number. Find the number
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Correct Answer: Option C
Explanation:
Let the number be y, subtract y from 2 i.e 2 - y
2 - y = 4 < \(\frac{1}{5}\) x y, 2 - y = 4 < \(\frac{y}{5}\)
2 - y - 4 < \(\frac{y}{5}\)
2 - 4 - y \(\frac{x}{5} - 4\), multiplying through by 5
5(2 - x) = 5(\(\frac{x}{5}\)) - 5(4)
10 - 5x = x - 20
-5x - x = -20 - 10
-6x = -30
x = \(\frac{-30}{-6}\)
= 5
Let the number be y, subtract y from 2 i.e 2 - y
2 - y = 4 < \(\frac{1}{5}\) x y, 2 - y = 4 < \(\frac{y}{5}\)
2 - y - 4 < \(\frac{y}{5}\)
2 - 4 - y \(\frac{x}{5} - 4\), multiplying through by 5
5(2 - x) = 5(\(\frac{x}{5}\)) - 5(4)
10 - 5x = x - 20
-5x - x = -20 - 10
-6x = -30
x = \(\frac{-30}{-6}\)
= 5