Question

C1.State whether the given statements are true or false.
(1)
(a)16: 24:: 20:30​

Answer 1

Answer:

true

hope it helps you..

Answer 2

Solution:-

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⛤ HOW TO DO:-

$\to$ To check that whether the given statement is true or false we need to use the formula of product of means and product of extremes. By applying this formula we will come to know whether the given statement is true or not.

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ANSWER:-

• Yes, the given statement is true.

GIVEN:-

• Statement = 16 : 24 :: 20 : 30

TO FIND:-

• Here we have to check or state whether the statement is in proportion or not.

SOLUTION:-

• Apply the formula of product of means and product of extremes.

We know that:-

$\purple{\circledast} \: \underline{\boxed{ \rm \red{Product\:of\:means = Product\:of\:extremes}}}$

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So let's solve it!

• Checking:-

$\leadsto \tt{\underbrace{16:\underbrace {24 ::20}:30}}$

$\leadsto \tt{\underbrace {24 ::20} = Product\:of\:means}$

$\leadsto \tt{\underbrace {16 :30} = Product\:of\:extremes}$

• If the product of both product of means and extremes will be same that means they are in proportion.
• If the above condition satisfies, then the statement is true.

➤ Product of means = 24 × 20

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 24 × 20 = 480

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 480

➤ Product of extremes = 16 × 30

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 16 × 30 = 480

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 480

⠀⠀⠀⠀⠀⠀⠀⠀⠀L.H.S = R.H.S

Product of means = Product of extremes

∴ As, the condition satisfies the statement is true.

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