Question

If x:8.: 42:48, then x = ?​

Answer 1

Answer:

x = 7

this is because

when you simplify 42 and 48 you get the ratio 7:8

that's why the simplest form or ratio will be 7:8

thus x = 7

please mark as brainliest

Answer 2

GIVEN :-

• x : 8 :: 42 : 48.

TO FIND :-

• The value of x.

SOLUTION :-

$\setlength{\unitlength}{1 cm}\begin{picture}(20,15)\put(2,4){\large\sf x:}\put(2.8,4){\large\sf 8\: ::}\put(3.9,4){\large\sf 42:}\put(4.7,4){\large\sf 48}\qbezier(2.2,3.7)(2.2,3.7)(2.2,3)\qbezier(2.2,3)(2.2,3)(5,3)\qbezier(5,3)(5,3)(5,3.7)\qbezier(2.9,3.7)(2.9,3.7)(2.9,3.3)\qbezier(2.9,3.3)(2.9,3.3)(4.2,3.3)\qbezier(4.2,3.3)(4.2,3.3)(4.2,3.7)\put(3.2,3.39){\sf Means}\put(3,2.6){\sf Extremes}\end{picture}$

As we know that the product of means is equals to the the product of extremes.

⇒ x × 48 = 42 × 8

⇒ 48x = 336

⇒ x = 336/48

⇒ x = 7

Hence the required value of x is 7.

________________…

★ VERIFICATION ★

⇒ x × 48 = 42 × 8

Not put the value of x = 7

⇒ 48 × 7 = 336

⇒ 336 = 336

L.H.S = R.H.S

HENCE VERIFIED.