Sarthaks Test
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Complete the following tables given that x varies directly as y.

(i)

X49....................3..........
Y16..........4836.............4

(ii)

X3579
2............2028.............

 

1 Answer

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Best answer

(i)

X4912931
Y16364836124

 \(\frac{4}{16}\) =  \(\frac{9}{x_1}\)

On cross multiplication, we get

9 x 16 = x1 x 4

x1\(\frac{9\times 16}{4}\) = 36

\(\frac{9}{36}\) = \(\frac{x_2}{48}\)

On cross multiplication, we get

9 x 48 = 36 x x2

\(\frac{9\times 48}{36}\) = x2

12 = x2

\(\frac{12}{48}\) = \(\frac{x_3}{36}\)

On cross multiplication, we get

12 x 36 = 48 x x3

\(\frac{12\times 36}{48}\) = x3

9 = x3

\(\frac{9}{36}\) = \(\frac{3}{x_4}\)

On cross multiplication, we get

 36 x 3 = 9 x x4

\(\frac{36\times 3}{9}\) = x4

12 = x4

\(\frac{3}{12}\) = \(\frac{x_5}{4}\)

On cross multiplication, we get

 3 x 4 = 12 x x5

\(\frac{12}{12}\) = x5

1 = x5

(II)

X3579
212202836

 \(\frac{5}{20}\) =  \(\frac{3}{x_1}\)

On cross multiplication, we get

20 x 3 = x1 x 5

x1 \(\frac{20\times 3}{5}\) = 12

\(\frac{7}{28}\) = \(\frac{9}{x_2}\)

On cross multiplication, we get

9 x 28 = 7 x x2

\(\frac{9\times 28}{7}\) = x2

36 = x2

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