State whether the statement is true or false:
One-third of a number added to itself gives $10$ , can be represented as $\frac{x}{3} + 10 = x$ .

True

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False

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Solution

The correct option is B False
The given statement is 'one-third of a number added to itself gives $10$ .
Let the required number is $x$ .
Then one-third of $x$ is $\frac{1}{3} \times x = \frac{x}{3}$
According to the statement, we can write $\frac{x}{3} + x = 10$
Which is not equal to $\frac{x}{3} + 10 = x$ as given in the question.
Therefore the given statement is false.

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