Question

2. Three people A, B and C share a certain amount among themselves such that thrice the share of A is equal to four times the share of B. Also, nine times the to eleven times the share of B. The ratio of the shares of A,B and C is 4.9:11 [B] 12:9:11 [C] 10:9:12 (D) 8:9:11 Next Submit​

Answer 1

Answer:

12:9:11

Step-by-step explanation:

this is thr answer

Answer 2

12:9:11 is the answer.

According to the question,

3A=4B ---------- [I]

9C=11B ---------- [II]

Multiplying [I] with 3 we get,

9A=12B -------- [III]

Subtracting [III] and [II] we get,

12B-11B = 9A-9C

B = 9(A-C) ---------- [IV]

Substituting [IV] in [I] we get,

3A = 4×9 (A-C)

A = 12A-12C

11A=12C

C= $\frac{11}{12}$×A ---------- [V]

$\frac{A}{C}$ = $\frac{12}{11}$

A:C = 12:11 --------- [VI]

Substituting [V] in [II] we get,

9×$\frac{11}{12}$×A = 11B

$\frac{3}{4}$×A = B

$\frac{B}{A}$ = $\frac{3}{4}$ = $\frac{9}{12}$

B:A = 9:12 --------- [VII]

Comparing [VII] and [VI], in A:B:C, A= 12, B= 9 and C= 11

Hence, A:B:C = 12:9:11