9 added to the product of two consecutive multiples of 6 gives 729 What is the answer​

Question

9 added to the product of two consecutive multiples of 6 gives 729 What is the answer​

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Sadie 1 month 2021-08-16T05:24:57+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T05:26:08+00:00

    Answer:

    812

    Step-by-step explanation:

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    0
    2021-08-16T05:26:43+00:00

    Let the 2 consecutive multiples of 6 be (6x) and (6x + 6)

    9 + [(6x)(6x +6)] = 729

    → 9 + 36x² + 36x = 729

    Dividing by 9 on both sides,

    1 + 4x² + 4x = 81

    → 4x² + 4x = 80

    Dividing by 4 on both sides,

    → x² + x = 20

    → x² + x -20 = 0

    → x² + 5x – 4x – 20 = 0

    → x(x + 5) – 4(x +5) = 0

    → (x – 4)(x + 5) = 0

    x = 4 or -5

    Ignoring the negative sign,

    x = 4

    Now, the 2 consecutive multiples are

    6x = 6 × 4 = 24

    6x + 6 = 24 + 6 = 30

    ∴ The consecutive numbers are 24 and 30

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