A varies directly as the sum of two quantities
B and ‘C’. ‘B’ in turn varies directly as ‘X’ and ‘c
varies inversely as

A varies directly as the sum of two quantities
B and ‘C’. ‘B’ in turn varies directly as ‘X’ and ‘c
varies inversely as ‘x. When x = 1 or 2. A = 3. Find
the value of A when x = 4.​

About the author
Adeline

1 thought on “A varies directly as the sum of two quantities<br />B and ‘C’. ‘B’ in turn varies directly as ‘X’ and ‘c<br />varies inversely as”

  1. Answer:

    Step-by-step explanation:

    A varies directly as sum of B and C

    => A= k(B+C) (k is some constant)

    now, B varies directly as x

    => B=m1*x (m1 is some constant)

    and C varies inversely as x

    => C=m2/x (m2 is some constant)

    =>A=k(m1*x + m2/x)

    =>A=px + q/x (p=k*m1 and q=k*m2 are replaced constants)

    so, for x=2,

    6= 2p + q/2

    and for x=4,

    9=4p + q/4

    solving for p and q,

    p=2

    q=4

    =>A=2x + 4/x

    So, for x=16,

    A=32.25

    Reply

Leave a Comment