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Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

# Unit Interval

##### Age 14 to 18 Challenge Level:

Why do this problem?
The problem gives practice in solving linear and quadratic inequalities.

Possible approach
Use this as a lesson starter. If learners do not know how to start let them use the Hint.

Then discuss the problem as a class but try to elicit ideas from the learners themselves.

Key questions
How do we make use of the information given?

If we are not making progress, then have we used all the information given?