Three consecutive odd integers

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Quandaries & Queries

Question from sparsh, a student:

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

I'm not going to do this for you, I'm going to give you a huge general hint:
Make The Notation Work For You.

Don't say a number is even: call it 2n
Don't say a number is odd - call it 2n+1

Three consecutive odd integers are 2n+1, 2n+3, 2n+5.

Now, what's three times the first? Twice the third?
Twice the third plus three?

Good Hunting!
RD

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