Question

49:x::35:95 find x. comparing quantities​

Answer 1

Question:-

find x.

49:x::35:95

Answer:-

• The value of x is 133.

Solution:-

$\large{ \tt : \implies \: \: \: \: 49 : x : : 35 : 95}$

$\large{ \tt : \implies \: \: \: \: \frac{49}{x} = \frac{35}{95} }$

After cross multiplication,

$\large{ \tt : \implies \: \: \: \: x \times 35 = 49 \times 95}$

$\large{ \tt : \implies \: \: \: \: x = \frac{49 \times 95}{35} }$

$\large{ \tt : \implies \: \: \: \: x = 19 \times 7}$

$\large{ \tt : \implies \: \: \: \: x = 133}$

• The value of x is 133.

Answer 2

Given

• 49 : x :: 35 : 95

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To find

• Value of x.

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Solution

• As the proportion is given in the question, we have to find the value of x.

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$\tt:\implies\: \: \: \: \: \: \: \: {49 : x :: 35 : 95}$

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$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{49}{x} = \dfrac{35}{95}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {49 \times 95 = 35 \times x}$

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$\tt:\implies\: \: \: \: \: \: \: \: {35x = 4655}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{4655}{35}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = 133}$

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Hence, the value of x is 133.

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