State whether the following statements are 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
Let the number be $x$
One-third of $x$ $= \frac{x}{3}$
One-third added to number itself becomes $x + \frac{x}{3}$ gives $10$
The correct representation for above mentioned statement is $x + \frac{x}{3} = 10$
Hence the given statement is false.

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