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Mathematics

If x+3(x+4)+3=45\dfrac{x + 3}{(x + 4) + 3} = \dfrac{4}{5}, the value of x is:

  1. 12

  2. -13

  3. -12

  4. 13

Linear Eqns One Variable

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Answer

x+3(x+4)+3=45\dfrac{x + 3}{(x + 4) + 3} = \dfrac{4}{5}

x+3x+4+3=45\dfrac{x + 3}{x + 4 + 3} = \dfrac{4}{5}

x+3x+7=45\dfrac{x + 3}{x + 7} = \dfrac{4}{5}

By cross multiplying, we get :

⇒ 5(x + 3) = 4(x + 7)

⇒ 5x + 15 = 4x + 28

⇒ 5x - 4x = 28 - 15

⇒ x = 13

Hence, option 4 is the correct option.

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