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The sum of 6 and one-third of x is one more than twice x, find...

Mathematics
WAEC 2010

The sum of 6 and one-third of x is one more than twice x, find x
  • A. x = 7
  • B. x = 5
  • C. x = 3
  • D. x = 2
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Correct Answer: Option C
Explanation
6 = \(\frac{1}{3}x\) = 1 + 2x

6 = 1 = \(\frac{2x}{1} - \frac{x}{3}\)

5 = \(\frac{6x - x}{3} = \frac{5x}{3}\)

5 = \(\frac{5x}{3}\)

3 x 5 = 5x

15 = 5x

x = \(\frac{15}{5}\)

= 3

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