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APMOPS 2014 Question 8

APMOPS · APMOPS 2014

Question 8

There are 6 bags containing 18, 19, 21, 23, 25 and 34 balls respectively. One bag contains only red balls while the other five bags contain only blue balls. Jason takes three bags and Jamie takes two bags. The remaining bag contain red balls. It is known that now Jason has twice as many blue balls as Jamie does. Find the number of red balls in the remaining bag.