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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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