Question

the value of x for which x+7:x+4::3:2 is ................​

Answer 1

Answer:

x+7:x+4 = 3:2.

x+7/x+4 = 3/2

2(x+7) = 3(x+4)

2x + 14 = 3x + 12

3x-2x = 14-12

x = 2.

Answer 2

Answer:

the value of "x = 2"

Step-by-step explanation:

Given,

x + 7 : x + 4 :: 3 : 2...(1)

We can write equation (1) as

$\frac{x+7}{x+4} = \frac{3}{2}$

⇒ 2(x + 7) = 3(x + 4)  {by cross multiplication}

⇒ 2x + 14 = 3x + 12

⇒ 2x + 14 - 12 = 3x

⇒ 2x + 2 = 3x

⇒ 2 = 3x - 2x

⇒ 2 = x (3 - 2)

(In the above steps we brought all the like terms at one place solved the equation)

⇒ x = 2

Therefore, the value of "x = 2".

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