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18 December, 11:55

The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd number.

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  1. 18 December, 14:11
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    11, 13 and 15.

    Step-by-step explanation:

    Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

    Applying that here, we get:

    Odd number * the next odd number*the next odd number=2145

    x * (x+2) * (x+4) = 2145

    x * (x^2+4x+2x+8) = 2145

    x^3+6x^2+8x=2145

    By solving the polynomial, you get x=11.

    Which makes our three numbers: 11, 13 and 15.

    11*13*15=2145. The answer checks.
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