# Number Properties Puzzle – Challenge 13

If you are looking for maths puzzles with answers, you are in the right place. The solution can be very useful when trying to solve a hard critical thinking challenge.

## Challenge:

If t and $$\sqrt{w}$$ are inversely proportional when t = 2 and w=9, what is the value of t when w =2?

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The correct answer is $$3\sqrt{2}$$.

t and $$\sqrt{w}$$ are inversely proportional when t = 2 and w=9,
Then, $$t × \sqrt{w} = 2 × \sqrt{9} = 2 × 3 = 6$$
w =2, then,
$$t × \sqrt{w} = 6 → t × \sqrt{2} = 6 → t = \frac{6}{\sqrt{2}} × \frac{\sqrt{2}}{\sqrt{2}} = \frac{6\sqrt{2}}{2} = 3\sqrt{2}$$

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