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Sticky Note
If the sum of a, b and c is twice the sum of a - b and a - c and the difference of a + b and a - c is 3 then the value of a is?
  1. 2
  2. 3
  3. 4
  4. None of these
Explanation

Given:

a + b + c = 2(a-b + a-c)

(a+b) - (a-c) = 3

Simplify equation 1:

a + b + c = 2(2a - b - c)

a + b + c = 4a - 2b - 2c

3a = 3b + 3c

a = b + c ... (i)

Simplify equation 2:

b + c = 3 ... (ii)

From (i) and (ii),

a = 3


Last verified on 06-03-2026

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