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EleoNora [17]
3 years ago
15

A positive integer is 5more than 23 times another. Their product is 6732. Find the two integers

Mathematics
1 answer:
aliina [53]3 years ago
3 0

One integer is m.

The other integer is n.


n = 23m + 5

mn = 6732


m = 6732/n


n = 23 * 6732/n + 5


n = 154,836/n + 5


n^2 = 154,836 + 5n


n^2 - 5n - 154,836 = 0


n = [5 +- sqrt(25 + 4 * 154,836)]/2


n = (5 +- 787)/2


n = 396 or n = -391


We discard -391 because the problem is looking for positive integers.


mn = 6732


m = 6732/n = 6732/396


m = 17


Answer: The integers are 17 and 396.

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