Math, asked by adityamishra6882, 1 year ago

Rs. 3000 is distributed among a, b and c such that a gets 2/3rd of what b and c together get and c gets ½ of what a and b together get. find c's share.

Answers

Answered by poulam4321
18

2 answers · Mathematics  Answers "Rs. 3000 is divided among A, B and C"  A + B + C = 3000  A = 3000 - B - C   "A gets 2/3rd of what B and C together get"  A = (2/3)(B + C)  3000 - B - C = (2/3)B + (2/3)C  3000 = (5/3)B + (5/3)C  1800 = B + C  A = 1200 Rs   "C gets 1/2 of what A and B together get."  C = (1/2)(A + B)   = (1/2)(1200 + B)   = 600 + (1/2)B  C - 600 = (1/2)B  B = 2C - 1200   A + B + C = 3000  1200 + (2C - 1200) + C = 3000  C = 1000 Rs  B = 800 Rs   Check:  (2/3)(B + C) = (2/3)(B + C) = 1200 = A  (1/2)(A + B) = (1/2)(1200 + 800) = 1000 = C

Answered by amanjain879
23

Answer:

Step-by-step explanation:

first of all a+b+c=3000 --------(1)eqn

second: 2/3(b+c)=a; -----------(2)eqn

third: (a+b)/2=c; -----------------(3)eqn

so we got 3 equation and 3 variable

a+b+c=3000;   (1)eqn

a+b-2c=0;         (3)eqn

subtracting both we get c=1000

answer:1000

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