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Mathematics

If a varies inversely to b and b = 12 when a is 8; the value of b when a = 6 is:

  1. 72

  2. 32

  3. 12

  4. 16

Direct & Inverse Variations

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Answer

a1b1=a2b2[∵a varies inversely to b]⇒8×12=6×b⇒96=6×b⇒b=966⇒b=16a1b1 = a2b2 \quad [\because \text{a varies inversely to b}] \\[1em] \Rightarrow 8 \times 12 = 6 \times b\\[1em] \Rightarrow 96 = 6 \times b\\[1em] \Rightarrow b = \dfrac{96}{6}\\[1em] \Rightarrow b = 16

Hence, option 4 is the correct option.

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