mynamejeff84 mynamejeff84
  • 23-08-2018
  • Mathematics
contestada

One-third of a number, decreased by six equals eight. What is the number?

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jellybeans9090
jellybeans9090 jellybeans9090
  • 23-08-2018
Firstly, write out the numbers first.
[tex]assume \: x \: is \: the \: number \\ ( \frac{1}{3} x \: ) - 6 = 8 \\ bring \: over \: - 6\\ ( \frac{1}{3} x \: ) = 8 + 6 \: \\ \: \: \frac{1}{3} x \: = 14 \\ \: \: \:x = 14 \times 3 \\ \: \: \: \: \: \: \: = 42[/tex]
Double check answers
[tex] ( \frac{1}{3} x \: ) - 6 = 8 \\ \\ ( \frac{1}{3} (42 \: ) - 6 \\ = 14 - 6 \\ = 8[/tex]

The number is 42.
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