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Table Height

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Height of the table minus the long side of a block plus the short side of a block = 84cm

Height of the table plus the long side of a block minus the short side of a block = 96cm

So if
x = height of the table
l = long side of a block
s = short side of a block

x - l + s = 84
x + l - s = 96

Adding both equations:

2x = 180
x = 90

The height of the table is therefore 90cm.

This problem is taken from the UKMT Mathematical Challenges.