The product of 2 consecutive integers is 30. Find the largest negative integer of the two integers.

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Check out the set:
2016 Problems
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The answer is -5.

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Let:

$x=1st\quad number\\ x+1=2nd\quad number$

$x\left( x+1 \right) =30\\ { x }^{ 2 }+x=30\\ { x }^{ 2 }+x-30=0\\ \left( x-5 \right) \left( x+6 \right) =0\\ x=5\quad |\quad x=-6\\ x+1=6\quad |\quad x+1=-5$

Largest Negative Integer: -5