Question

(x-2):(x-5)=6:5 then x
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Answer 1

Given :

• (x - 2) : (x - 5) = 6 : 5

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To Find :

• Value of x

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Now, solve the equation

$\sf:\implies \: \dfrac{x - 2}{x - 5} = \dfrac{6}{5}$

$\sf:\implies \: 5(x - 2) = 6( x - 5)$

$\sf:\implies \: 5x - 10 = 6x - 30$

$\sf:\implies \: - 10 + 30 = 6x - 5x$

$\sf:\implies \: 30 - 10 = 6x - 5x$

$\sf:\implies \: x = \boxed{\boxed{\bold\purple{20}}}\bigstar$

$\sf\therefore{\underline{Hence, \: the \: value \: of \: x \: is \: \bold{20}}}$

Answer 2

Given :

➟ (x-2):(x-5)=6:5

To Find :

➟ Value of x

Solution :

➟ As we know ,

• Product of extremes = Product of means

➟ 5( x - 2 ) = 6( x - 5 )

➟ 5x - 10 = 6x - 30

➟ 6x - 5x = 30 - 10

➟ x = 20

$\:\:\:\: \large \underline {\sf{Value\:of\:x\:is\:20}}$

Final ans is 20

And we are done !

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