Find three consecutive odd integers such that the first integer times thesecond integer is one less than four times the third

Question

Find three consecutive odd integers such that the first integer times thesecond integer is one less than four times the third
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Solution 1

Let's denote the three consecutive odd integers as x, x+2, and x+4.

According to the problem, the first integer times the second integer is one less than four times the third. This can be written as:

x*(x+2) = 4*(x+4) - 1

Expanding and simplifying the equation gives:

x^2 + 2x = 4x + 16 - 1

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