Arpit has some marbles in his bag .He puts half of the marbles in a jar and one-sixth in his pocket . If total marbles are 10 more than twice of the remaining marbles in the bag, then find the number of marbles in the jar.

Let the arpit has x marbles in his bag, Number of marbles in jar = x2number of marbles in his pocket = x6So remaining marbles=x-x2-x6=12x-6x-2x12=4x12=x3Now according to the condition, x=2×x3+10x=2x3+103x=2x+303x-2x=30x=30So number of marbles in the jar = x2=15

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