Ajinkya has twice as many pens with Sheetal and thrice as many pens with Heena. If they have in all $44$ pens, how many pens does Sheetal have?

12

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16

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8

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10

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Solution

The correct option is A $12$
$L e t n o . o f p e n s A j i n k y a h a s b e x t h e n n o . o f p e n s o f S h e e t a l = (\frac{x}{2}) a n d n o . o f p e n s o f H e e n a = (\frac{x}{3}) ∴ x + x / 2 + x / 3 = 44 (\frac{6 x + 3 x + 2 x}{6}) = 44 ∴ 11 x = 44 \times 6 ∴ x = 24 ∴ n o . o f p e n s o f S h e e t a l = (\frac{24}{2}) = 12$

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