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Getting the Balance

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Daniel from Englefield Infant School had a go at this challenge. First he tried 8 and 3 on the left, as the question suggested:

8+3=1+2+8
8+3=1+3+7
8+3=1+4+6
8+3=2+3+6
8+3=2+4+5

I like the way you have written these in a very logical order, Daniel. Well done! Next, Daniel tried 10 and 9 on the left side of the balance:

10+9=1+8+10
10+9=2+7+10
10+9=2+8+9
10+9=3+6+10
10+9=3+7+9
10+9=4+5+10
10+9=4+6+9
10+9=4+7+8
10+9=5+6+8

Fantastic! Izzy from Tonbridge Grammar School reminds us that:

Whatever the sum of numbers of weights on one side add up to has to be equal with the mass of weights on the other.

Thank you to you both.