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Mathematics

x + 9, 10 and 4 are in G.P. The value of x is :

  1. 16

  2. 8

  3. -16

  4. 0

AP GP

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Answer

Given,

x + 9, 10 and 4 are in G.P.

10x+9=4104(x+9)=10×104x+36=1004x=100364x=64x=644=16.\therefore \dfrac{10}{x + 9} = \dfrac{4}{10} \\[1em] \Rightarrow 4(x + 9) = 10 \times 10 \\[1em] \Rightarrow 4x + 36 = 100 \\[1em] \Rightarrow 4x = 100 - 36 \\[1em] \Rightarrow 4x = 64 \\[1em] \Rightarrow x = \dfrac{64}{4} = 16.

Hence, Option 1 is the correct option.

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