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    If A varies directly as B, and A = 210 when B = 51, then find A when B = 136.
    Question

    If A varies directly as B, and A = 210 when B = 51, then find A when B = 136.

    A.

    563

    B.

    560

    C.

    558

    D.

    559

    Correct option is B

    Given:

    A ∝ B (A varies directly as B)

    A = 210 when B = 51

    Find A when B = 136

    Solution: 

    A ∝ B 

    A = kB 

    210 = k(51) 

    k = 21051\frac{210}{51} ​  

    Now, 

    A = 21051×136=560\frac{210}{51} \times 136 = 560​​

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