The product of two consecutive integers is 482 more than the next integer. What is the largest of the three integers?

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Answer 1 · 2017-02-15T12:53:56

The largest is 24 or -20.
Both solutions are valid.

Let the three numbers be #x, x+1 and x+2#

The product of the first two differs from the third by 482.

#x xx (x+1) - (x+2) = 482#

#x^2+x -x -2 = 482#

#x^2 = 484#

#x = +-sqrt484#

#x = +-22#

Check: #22 xx 23 - 24 = 482#

#-22 xx -21 - (-20) = 482#

Both solutions are valid.