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Alekssandra [29.7K]
2 years ago
13

The product of three consecutive positive numbers (x - 1), x and (x + 1) is 96 times their sum.

Mathematics
1 answer:
Talja [164]2 years ago
8 0

Step-by-step explanation:

their sum is

x - 1 + x + x + 1 = 3x

their product is

(x - 1)x(x + 1) = x(x² - 1)

96 × 3x = x(x² - 1)

96 × 3 = x² - 1

288 = x² - 1

x² = 289

x = 17

so, the solution is 16, 17, 18

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