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

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

User Ankush Guhe
by
7.8k points

1 Answer

4 votes
Firstly, write out the numbers first.

assume \: x \: is \: the \: number \\ ( (1)/(3) x \: ) - 6 = 8 \\ bring \: over \: - 6\\ ( (1)/(3) x \: ) = 8 + 6 \: \\ \: \: (1)/(3) x \: = 14 \\ \: \: \:x = 14 * 3 \\ \: \: \: \: \: \: \: = 42
Double check answers

( (1)/(3) x \: ) - 6 = 8 \\ \\ ( (1)/(3) (42 \: ) - 6 \\ = 14 - 6 \\ = 8

The number is 42.
User Zhen Zhang
by
7.9k points
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