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a x (a +1) = (a + 2)^2 - 28 ie a^2 + a = a^2 + 4a + 4 - 28 ie a^2 -a^2 + a - 4a = 4 - 28 ie -3a = -24 ie a = 8 Numbers are 8, 9 and 10. Check: 8 x 9 = 10^2 - 28 so 72 = 100 - 28 OK

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Q: Find 3 consecutive number where the product of the smaller two numbers is 28 less than the square of the largest number?
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