A varies directly with B when C is constant and inversely with C when B is constant.A=6 when B=2 and C=3. What will be the value of A when B=3 and C=18?

Asked by mkp400 | 16th Dec, 2017, 10:02: AM

Expert Answer:

begin mathsize 16px style According space to space the space question comma
straight A space straight alpha space straight B space and space straight A space straight alpha space 1 over straight C
rightwards double arrow straight A equals straight k cross times straight B over straight C space space space space space where space straight k space is space constant
rightwards double arrow AC over straight B equals straight k
straight A equals 6 comma space straight B equals 2 comma space straight C equals 3
fraction numerator 6 cross times 3 over denominator 2 end fraction equals straight k
straight k equals 9
straight A equals 3 comma space straight B equals 3 space and space straight C equals 18
rightwards double arrow fraction numerator straight A cross times 18 over denominator 3 end fraction equals 9
rightwards double arrow straight A equals 3 over 2 end style

Answered by Sneha shidid | 16th Dec, 2017, 12:11: PM