The average income of A and B is 50000 and average income of B and C is 60000 and Average income of A and C is 55000. What is the income of B?
Explanation
1. Average income of A and B is 50000, so their total income is:
2 x 50000 = 100000
2. Average income of B and C is 60000, so their total income is:
2 x 60000 = 120000
3. Average income of A and C is 55000, so their total income is:
2 x 55000 = 110000
Now, let's analyze the situation:
- A's income + B's income = 100000 ... (1)
- B's income + C's income = 120000 ... (2)
- A's income + C's income = 110000 ... (3)
We can add (1) and (3), and subtract (2) from the result:
(100000 + 110000) - 120000 = 90000
Simplifying this, we get:
190000 - 120000 = 70000
Now, divide by 2:
70000 / 2 = 35000
Now, add B's income and C's income (equation 2):
35000 + C's income = 120000
Subtract 35000 from both sides:
C's income = 85000
Now, subtract C's income from equation (3):
A's income + 85000 = 110000
Subtract 85000 from both sides:
A's income = 25000
Now, subtract A's income from equation (1):
25000 + B's income = 100000
Subtract 25000 from both sides:
B's income = 75000 - 25000
B's income = 55000
So, B's income is 55000.
