Question 190

What will come in place of both the question marks (?) in the following question ? $$\frac{(?)^{1.3}}{45}=\frac{75}{(?)^{1.7}}$$

Solution

Let ? = x
According to given equation
$$\frac{(x)^{1.3}}{45}=\frac{75}{(x)^{1.7}}$$
$$ x^{3} $$ = 45 $$ \times$$ 75
$$ x^{3} $$ = 15 $$ \times$$ 15 $$ \times$$ 15
x = 15


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