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## 'Weekly Problem 34 - 2012' printed from http://nrich.maths.org/

Grandpa has made another of his special super-heavy giant rock cakes. At his birthday party, five of the guests tried to guess the weight of the cake.

Their guesses were 5 040g, 5 060g, 5 110g, 5 120g and 5 150g.

Actually, none of them was right. Only two were more than 30 grams out, and those guesses were out by 70g and 90g.

What was the weight of the cake?

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*This problem is taken from the UKMT Mathematical Challenges.*

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