Question

if40:×and×:40 are in proportion then find the value of 2×.​

Answer 1

➲Given that,

• Two ratios 40 : X and X : 40 are in proportion to each other.!

⇨ To Find:

• ⇴ the value of 2x

Solution:

$\sf{ \purple {\underline{ \dag \:according \: to \: the \: question : }}}$

When two quantities are in proportion:

➢ their product of means equals the product of their extremes.

➷here mean are x and x ,extremes are 40 and 40

$: \implies \bf \blue{40 : x : : x :40} \: \: \: \: \\ \\ \\ : \implies \bf \blue{40 \times 40 = x \times x} \\ \\ \\ : \implies \bf \blue{1600 = {x}^{2} } \: \: \: \: \: \: \: \: \: \: \\ \\ \\ : \implies \bf \blue{ \: x = \sqrt{1600} } \: \: \: \: \: \: \: \\ \\ \\ : \implies \bf \blue{ x = 40} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \orange {\underline{ \pink {\boxed{ \sf the \: value \: of \: x = 40}}}} \: \: \: \: \: \:$

⇝ Now we have to find the value of 2x

$\leadsto \tt x = \purple{40} \: \: \: \: \: \: \: \: \\ \\ \leadsto \tt2x = \purple{40 \times 2} \\ \\ \leadsto \tt 2x = \purple{80} \: \: \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \green{ \mathfrak{ \therefore \:the \: value \:of \: 2x \: equals = 80 }}}}}\green\dag$

Answer 2

Answer:

Explanation:

Given :

• 40, x , x, 40 are in proportion.

To Find :

• The value of 2x.

Solution :

Given that, 40, x, x, 40 are in proportion.

Here,

• Extremes = 40 , 40
• Means = x, x

.°. Product of extremes = Product of means

=> 40 × 40 = x × x

=> 1600 = x²

=> x² = 1600

=> x = √1600

=> x = 40

So,

=> 2x = 2 × 40 = 80.

Hence :

The value of 2x is 80.