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Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is
1. 5
2. 4
3. 7
4. 6

1 Answer

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Best answer
Correct Answer - Option 4 : 6

Calculation

According to question

⇒ A + (B + C)/2 = 5

⇒ 2A + B + C = 10    ------(i)

⇒ B + (A + C)/2 = 7

⇒ 2B + A + C = 14    ------(ii)

⇒ Adding both equation we get

⇒ 3(A + B )+ 2C = 24    ------(iii)

⇒ Subtract equation (ii) from equation (i), we get

⇒ B - A = 4    ------(iv)

⇒ From option 2 it is not possible that A + B = 4, So option 2 is wrong

⇒ From equation third value of C should be multiple of 3

⇒ Let C = 3 put it in equation (iii)

⇒ 3(A + B) + 6 = 24

⇒ A + B = 18/3

∴ The sum of A and B is 6

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