A takes 5 days more than B to do a certain job and 9 days more than C. A and B together can do the job in the same time as C. How many days A would take to do it?

A takes 5 days more than B to do a certain job and 9 days more than C. A and B together can do the job in the same time as C. How many days A would take to do it? Correct Answer 15

ধরি, C কাজটি করে x দিনে ∴ A " " " " ( x + 9 ) দিনে ∴ B " " " " ( x + 9 - 5 )" = x + 4 " ∴1x + 9 + 1x + 4 = 1x ⇒x + 4 + x + 9(x + 9)(x + 4) = 1x ⇒2x + 13x2 + 13x + 36 = 1x ⇒2x2 + 13x = x2 + 13x + 36 ⇒2x2 - x2 + 13x - 13x = 36 ⇒x2 = 36 ⇒x = 36 ∴ x = 6 ∴ কাজটি করতে Aএর সময় লাগে (6 + 9) দিন = 15 দিন।
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