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The product of two consecutive integers is 80 more than 15 times the larger integer. What are the integers?

Answer 1

Nathan Axel

#19,20# or #-5,-4#

Let the larger integer be #n#.

Next, we hear:

#(n-1)n = 15n+80#

Subtract #15n# from both sides to get:

#(n-16)n = 80#

So we are looking for a pair of factors of #80# which differ by #16#.

The pair #20, 4# works.

Hence #n=20# or #n=-4#

So the two consecutive integers are #19,20# or #-5,-4#

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Answer 2

Avery Alexander

The consecutive integers are 9 and 10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.