Question

If 5100 be divided among A, B, C in such a way that A gets 2/3
of what B gets and B gets 1/4 of what C gets, find their respective shares​

Answer 1

Answer:

Share of A = 600

Share of B = 900

Share of C = 3600

Step-by-step explanation:

Let the share of C be c.

Then share of B = c/4

Share of A = (2/3) * (c/4) = c/6

According to the question, c + (c/4) + (c/6) = 5100

Solving for c:

(12c + 3c + 2c) / 12 = 5100

17c / 12 = 5100

17c = 5100 * 12

c = (5100 * 12) / 17 = 3600

Finally,

Share of C = 3600

Share of B = 3600/4 = 900

Share of A = 3600/6 = 600