SOLUTION: Hi, I am really struggling with this word problem involving consecutive integers, I have the answer to the problem because it is provided but I do not know how to set it up, I prob

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Question 462315: Hi, I am really struggling with this word problem involving consecutive integers, I have the answer to the problem because it is provided but I do not know how to set it up, I probly could solve it if I just could figure out how to set it up.. Here it is: Find 3 consecutive odd integers such that the largest number is 5 more than the sum of the first two. Can you please show me how to set this up? Here is what I have tried:x+4=x+x+2(5), also tried x+4=5+x+x+2, and x+4=5+(x+x+2) and several other ways! Please help!!!! Thank you for your time, Diana
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smallest odd integer = +n+
The next larger odd integer = +n+%2B+2+
The next larger odd integer = +n+%2B+4+
given:
+n+%2B+4+=+5+%2B+%28n+%2B+n+%2B+2%29+
+n++%2B+4+=+2n+%2B+7+
Subtract +n+ from both sides
+4+=+n+%2B+7+
Subtract +7+ from both sides
+n+=+-3+
+n+%2B+2+=+-1+
+n+%2B+4+=+3+
The numbers are -3, -1, and 3
check:
+n+%2B+4+=+5+%2B+%28n+%2B+n+%2B+2%29+
+-3+%2B+4+=+5+%2B+%28-3+-3+%2B+2%29+
+1+=+5+%2B+2+-+6+
+1+=+1+
OK