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

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.