A varies directly with B when C is constant and inversely with C when B is constant. A is 32, when B is 14 and C is 14. Find the value of A, when B is 18 and C is 3.
Explanation:
Given that A α B and A α 1/C.
A ∝ B/C ⇒ A = k × B/C
Given that A = 32 when B is 14 and C is 14.
So, 32 = k × 14/14 ⇒ k = 32.
If B is 18 and C is 3, then
A = k × B/C = 32 × 18/3 = 192
Hence, 192.
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