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Mathematics

The value of a when

xy
26
a18
927

is:

  1. 1

  2. 1.5

  3. 9

  4. 6

Direct & Inverse Variations

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Answer

As 26=13\dfrac{2}{6} = \dfrac{1}{3}

And 927=13\dfrac{9}{27} = \dfrac{1}{3}

So, we can say x and y vary directly

26=a18a=2×186a=366a=6\dfrac{2}{6} = \dfrac{a}{18}\\[1em] \Rightarrow a = \dfrac{2 \times 18}{6}\\[1em] \Rightarrow a = \dfrac{36}{6}\\[1em] \Rightarrow a = 6

Hence, option 4 is the correct option.

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