If 9- x- x and 49 are in proportion- find the value of x- 7-14-21-35-

The correct option is C 21 Given: 9, x, x, 49 are in proportion i.e. 9:x :: x:49 ⇒9x= x49 ⇒ x × x = nbsp; 9 × 49 ⇒ x × x = 441 ⇒ x × x = 21 × 21 ⇒ x = 21 ...

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Standard IX

Mathematics

General Form of the Theorem on Equivalent Ratios

If 9, x, x an...

Question

If $9, x, x$ and $49$ are in proportion, find the value of $x$ .

$7$

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$14$

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$21$

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$35$

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Solution

The correct option is C
$21$

Given: $9, x, x, 49$ are in proportion i.e. $9 : x :: x : 49$
$\Rightarrow \frac{9}{x} = \frac{x}{49}$

$\Rightarrow x \times x = 9 \times 49$
$\Rightarrow x \times x = 441$
$\Rightarrow x \times x = 21 \times 21$
$\Rightarrow x = 21$

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If 9,x,x and 49 are in proportion, find the value of x.

The correct option is C 21 Given: 9,x,x,49 are in proportion i.e. 9:x::x:49 ⇒9x=x49 ⇒x×x=9×49 ⇒x×x=441 ⇒x×x=21×21 ⇒x=21

If $9, x, x$ and $49$ are in proportion, find the value of $x$ .

The correct option is C
$21$

Given: $9, x, x, 49$ are in proportion i.e. $9 : x :: x : 49$
$\Rightarrow \frac{9}{x} = \frac{x}{49}$

$\Rightarrow x \times x = 9 \times 49$
$\Rightarrow x \times x = 441$
$\Rightarrow x \times x = 21 \times 21$
$\Rightarrow x = 21$