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| Math Central | Quandaries & Queries |
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Question from Muneera, a student: Find 3 consecutive odd integers so that 3 times their sum is 5 more than 8 times the middle one? |
Hi Muneera,
Two facts will help with this problem.
- The odd integers are spaced two units apart on the number line.
- Every odd integer is one more than an even integer.
From the second fact above the middle integer can be written $2n + 1$ for some integer $n.$
- What is the next odd integer?
- What is the previous odd integer?
- What is the sum of the three integers?
- What is 8 times the middle integer?
Can you complete the problem from here?
Write back if you need more assistance,
Penny
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