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Always Two

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Five equations and five unknowns. Is there an easy way to find the unknown values?

Is There More to Discover about Four Consecutive Numbers?

Age 14 to 16
Challenge Level

This is the third problem in a set of three.  The other two are:

Starting to Explore Four Consecutive Numbers and

Continuing to Explore Four Consective Numbers

This set of problems offers students the opportunity to explore, conjecture and use algebra to justify their findings.

This problem featured in the NRICH Secondary webinar in June 2022.