SOLUTION: Question: The product of two consecutive integers is 194 more than the next integer. What is the largest of the three integers? I tried the formula a + b = 194+ c. It didn't w

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Question: The product of two consecutive integers is 194 more than the next integer. What is the largest of the three integers? I tried the formula a + b = 194+ c. It didn't w      Log On


   



Question 549887: Question: The product of two consecutive integers is 194 more than the next integer. What is the largest of the three integers?
I tried the formula a + b = 194+ c. It didn't work though.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smallest integer = +n+
The next larger integer = +n+%2B+1+
The 3rd larger integer = +n+%2B+2+
--------------------------
given:
+n%2A%28n%2B1%29+=+n%2B+2+%2B+194+
+n%5E2+%2B+n+=+n+%2B+196+
+n%5E2+=+196+
+n+=+sqrt%28196%29+
+n+=+14+
+n+%2B+1+=+15+
+n+%2B+2+=+16+
The largest integer is 16
check answer:
+n%2A%28n%2B1%29+=+n%2B+2+%2B+194+
+14%2A15+=+16+%2B+194+
+210+=+210+
OK