6. A certain sum was to be divided ...
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6. A certain sum was to be divided among Akash, Brijoy and Charan in the ratio of 14 : 17 : 19 but erroneously it was divided in the ratio of 8:9:13, and so, Charan got 344 more. What was the total amount distributed among the three? 141 76 A50 * Goo 20 20

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het the e total sum ( =x ) [ begin{aligned} Rightarrow mid 4 k+17 k+19 k &=x 50 k &=x end{aligned} ] a but The amount was divided in me latio 8: 9: 13 [ begin{array}{l} Rightarrow quad 8 p+9 p+B p=x Rightarrow quad 30 p=x-Q end{array} ] Now Charan got mare beeaume of one wrong distnbution [ begin{array}{l} Rightarrow quad 13 p-19 k=1000344 Rightarrow 13left[frac{n}{30}right]-19left[frac{n}{50}right]=100.344 rightarrow frac{65 n-57 n}{150}= 244 end{array} ] -1 [ frac{8 x}{150}= ] [ 8 times ] 5 ( 483 times 150 ) ( times 2344 times 150 ) 80 ( quad sqrt{1 times 2} ) ( =6450 )
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