Question

Arpit has some marbles in his bag. He puts half of the marble 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?
[a] 60 [b] 30 [c] 25 [d] 5

Answer 1

dear student

let number of marbles be x
marbles in jar = x/2
marbles in pocket = x/6
remaining marbles

$$\begin{gathered} =x-\frac{x}{2}-\frac{x}{6}=\frac{2x}{6}=\frac{x}{3} \\ asperquestion \\ x=10+2\left(\frac{x}{3}\right) \\ 3x=30+2x \\ x=30 \\ totalmarbles=30 \end{gathered}$$