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Equivalent Ratios

If 20: 28= ...

Question

If $20 : 28 = x : 7 = 10 : y$ .
The values of $x$ and $y$ in the box respectively are __________.

5, 14

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14, 5

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8, 10

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10, 8

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Solution

The correct option is A $5, 14$
We have, $20 : 28 = x : 7 = 10 : y$
Taking first two ratios, we have
$20 : 28 = x : 7$
$\Rightarrow 20 \times 7 = x \times 28$
$\Rightarrow x = \frac{20 \times 7}{28} = 5$
Again taking last and first ratio, we get
$20 : 28 = 10 : y \Rightarrow 20 \times y = 28 \times 10$
$\Rightarrow y = \frac{10 \times 28}{20} = 14$ .

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