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9 October, 12:13

The product of two natural numbers, one of which is greater than the other by 6, is 187. Find these numbers.

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  1. 9 October, 14:23
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    11,17

    Step-by-step explanation:

    First method:

    factor 187 into 11*17, both of which are natural numbers, and difference is 6, so satisfies conditions for the answers.

    Second method:

    Product and difference: xy=p, x-y=6, half the difference is 3.

    An approximation for the average between x and y can be found by taking the square root of the product p = 187

    sqrt (187) = 13.7, so we can try (14-3) (14+3) = 11*17=187.

    Note: since sqrt (187) is always less than x*y, we try the next greater natural number (14) to start.
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