A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. They daily earning of C is _____?
A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. They daily earning of C is _____?
Explanation
Let's denote the daily earnings of A, B, and C as a, b, and c respectively.
We are given:
a + b + c = 150 ... (1)
a + c = 94 ... (2)
b + c = 76 ... (3)
Now, add equations (2) and (3):
(a + c) + (b + c) = 94 + 76
a + b + 2c = 170
Now, subtract equation (1) from this:
(a + b + 2c) - (a + b + c) = 170 - 150
c = 20