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