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Mathematics

Solve (question no. 2-22) for x :

x+29=x+411\dfrac{x + 2}{9} = \dfrac{x + 4}{11}

Linear Eqns One Variable

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Answer

x+29=x+411\dfrac{x + 2}{9} = \dfrac{x + 4}{11}

On cross multiplying, we get :

⇒ (x + 2) ×\times 11 = (x + 4) ×\times 9

⇒ 11x + 22 = 9x + 36

⇒ 11x - 9x = 36 - 22

⇒ 2x = 14

⇒ x = 142\dfrac{14}{2}

⇒ x = 7

Hence, the value of x is 7.

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