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?
- 2
- 3
- 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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