The average of the daily wages of A and B is Rs.4.70, that of B and
C is Rs. 5 and that of C and A is Rs.3.80. Find the daily wages of
each A,B,C respectively in Rs.).
Answers
Answer:
answer is = 3.5,5.9,4.1 if we add we get 13.5
Answer:
The daily wages are A = 3.5 Rs, B = 5.9 Rs, C = 4.1 Rs.
Step-by-step explanation:
Given data
The average of the daily wages of A and B = Rs 4.70
The average of the daily wages of B and C = Rs 5
The average of the daily wages of C and A = Rs 3.80
here we need to find daily wages of A, B and C in Rs
give average wages of A and B = (A+B)/ 2 = 4.70
⇒ A+B = 2(4.70)
⇒ A+B = 9.4 Rs _(1)
the averages wages of B and C = (B+C) / 2 = 5
⇒ B+C = 2(5)
⇒ B+C = 10 Rs _(2)
the average wages of C and A = (A+C) / 2 = 3.80
⇒ A+C = 2(3.80)
⇒ A+C = 7.6 Rs _(3)
subtract (1) from (2)
⇒ B+C - (A+B) = 10 - 9.4
⇒ B + C - A - B = 0.6
⇒ C - A = 0.6 Rs _(4)
add (3) and (4)
⇒ A+C + C - A = 7.6 + 0.6
⇒ 2C = 8.2
⇒ C = 4.1 Rs
substitute C = 4.1 in (3)
⇒ A+ 4.1 = 7.6
⇒ A = 7.6 - 4.1
⇒ A = 3.5 Rs
substitute A = 3.5 in (1)
⇒ 3.5 +B = 9.4
⇒ B = 9.4 - 3.5
⇒ B = 5.9 Rs
the daily wages are A = 3.5 Rs, B = 5.9 Rs, C = 4.1 Rs.