Question

the average of monthly income of A and B is ₹ 60000 that of B and C is ₹ 55000 and A and C is ₹ 5000. what are their monthly income​

Answer 1

Answer:

A=55000

B=65000

C=45000

Step-by-step explanation:

Income of A+B=2*60000

Therefore, A+B=120000

Similarly, B+C=110000

And C+A=100000

ADD ALL 3 EQUATIONS, WE GET

2(A+B+C)=330000

Therefore, A+B+C=165000

Then put 2nd eqn..i.e value of B+C=110000

THEN YOU GET A=55000(i.e the income of A)

similary, B is 65000

and C is 45000.

Answer 2

Answer:

Monthly income of A is Rs 5500

Monthly income of B isRs 114500

and monthly income of C is zero

Step-by-step explanation:

Explanation:

Given , average of monthly income of A and B = Rs 60000

average of monthly income of B and C = Rs 55000.

And average of monthly income of A and C = Rs 5000 .

Step 1:

Therefore ,

Total income of (A +B) = 2 × (60000) = Rs 120000 ...(i)

Total income of (B+ C) = 2× (55000) =Rs  110000 ......(ii)

Total income of (A +C ) = 2 ×(5000) = Rs 10000 .....(iii)

So, Total income of (A+B+C) =  $\frac{240000}{2}$ = Rs 120000

So , A + B + C = 120000 .......(iv)

Step 2:

Now , put the total income of (B+C) in (i) we get

A + (B+C) = 120000

⇒A + 110000 = 120000

⇒ Total income of  A = 120000-110000= 10000

Therefore , on putting  total income of A in equation (i) and (iii) we get

total income of B = 120000 - 10000 = Rs 110000 and

total income of C = 10000 - 10000  = 0

Final answer :

Hence , the monthly income of A , B and C are Rs 10,000 , Rs 1,10,000 and Rs 0

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