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Add up all 5 equations given below. What do you notice? Solve the system and find the values of a, b, c , d and e. b + c + d + e = 4 a + c + d + e = 5 a + b + d + e = 1 a + b + c + e = 2 a + b + c + d = 0

Table Height

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

Four identical blocks of wood are placed touching a table in the positions shown. How high is the table?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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