Question

if 8:x :: 16:35. find the value of x​

Answer 1

Solution :-

Given proportion ,

• 8 : x : : 16 : 35

Here , we need to find the value of x,

Now , by means & extremes

Here , means & extremes means ,

• Means :- 16 ( x )

• Extremes :- 8 ( 35 )

Here , means & extremes are equal

So ,

⇒ 16 ( x ) = 8 ( 35 )

⇒ 2 ( 8 ) ( x ) = 8 ( 35 )

⇒ 2 ( x ) = 35

⇒ x = 35/2

⇒ x = 17.5

Hence , x = 35/2 or 17.5

Answer 2

Answer:

Given :-

$\mapsto$ 8 : x : : 16 : 35

To Find :-

$\mapsto$ What is the value of x.

Solution :-

Given proportion is 8 : x : : 16 : 35

We know that,

$\green\bigstar\boxed{\bold{\large{Product\: of\: extremes\: =\: Product\: of\: means}}}$

▪️ According to the question by using formula we get,

$\implies$ 8 × 35 = x × 16

$\implies$ 280 = 16x

$\implies$ x = $\sf\dfrac{\cancel{280}}{\cancel{16}}$

$\dashrightarrow$ x = 17.5

$\therefore$ The value of x is 17.5 .

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