Question 66105: If the sum of two consecutive integers is subtracted from their product, the result is 181. What are the two integers? Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let the first integer be n, the next consecutive integer is n+1.
From the problem description, you can write: Simplify and solve for n. Solve this quadratic equation by factoring: Apply the zero product principle: and/or
If then and
If then and n+1 = 15
So you really get two pairs of integers which satisfy the given constraints and since the problem did not restrict the solution to positive integers only, you will have two answers:
14 and 15 is one pair.
-13 and -12 is the other pair.
Check: = OK = OK
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