Math CentralQuandaries & Queries


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,

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