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
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
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