Rs 770 have to be divided among A- B and C such that A receives 2-9th of what B and C together receive- Then A-s share isRs 140Rs 154Rs 165Rs 170

Question

Toppr Admin · Accepted Answer

Let- B and C together receives Rs-x-x2234- A-apos-s share -29xA-T-Q-x-29x-770-x27F9-9x-2x9-770-x27F9-11x-770-xD7-9-x27F9-x-770-xD7-911-630A-apos-s Share -29-xD7-630-140

Rs $770$ have to be divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is
Rs $140$
Rs $154$
Rs $165$
Rs $170$

Let, B and C together receives $R s . x$
$∴$ A's share $= \frac{2}{9} x$
A.T.Q,
$x + \frac{2}{9} x = 770$
$⟹ \frac{9 x + 2 x}{9} = 770$
$⟹ 11 x = 770 \times 9$
$⟹ x = \frac{770 \times 9}{11} = 630$
A's Share $= \frac{2}{9} \times 630 = 140$

Rs 770 have to be divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share isRs 140Rs 154Rs 165Rs 170

Let, B and C together receives Rs.x∴ A's share =29xA.T.Q,x+29x=770⟹9x+2x9=770⟹11x=770×9⟹x=770×911=630A's Share =29×630=140

Rs $770$ have to be divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is
Rs $140$
Rs $154$
Rs $165$
Rs $170$

Let, B and C together receives $R s . x$
$∴$ A's share $= \frac{2}{9} x$
A.T.Q,
$x + \frac{2}{9} x = 770$
$⟹ \frac{9 x + 2 x}{9} = 770$
$⟹ 11 x = 770 \times 9$
$⟹ x = \frac{770 \times 9}{11} = 630$
A's Share $= \frac{2}{9} \times 630 = 140$