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6 February, 19:49

Find four consecutive natural numbers if you know that the product of the first two is 38 less than the product of the following two numbers.

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  1. 6 February, 23:45
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    Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively. x * (x+1) = (x+2) * (x+3) - 38 x^2 + x = x^2 + 5x + 6-38 x^2 + x = x^2 + 5x - 32 - 4x = - 32 x=8 The four numbers are 8, 9, 10, and 11 check solution: 8*9=10*11-38 72=110-38 72=72
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