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Would it be useful to write the initial information as simultaneous equations?
Can you get two equations involving just two of the unknowns?

Whose ages are even and whose odd?
What combinations are possible for Tom's and Sally's ages?
Can this help you to find the right answer?

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Not a Polite Question

When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...

Whole Numbers Only

Can you work out how many of each kind of pencil this student bought?

All Square

Solve the system of equations xy = 1 yz = 4 zx = 9

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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