If x + y = 6, y + z = 4 and z + x = 2, then 2y - z - x ?

A 2
B 8
C 6

Correct Answer: 6

If x + y = 6, y + z = 4 and z + x = 2, then 2y - z - x ? x + y = 6 - - - - - - - (i) y + z = 4 - - - - - - - (ii) z + x = 2 - - - - - - - (iii) [(i) + (ii)]>>    2y + z + x = 10 - - - - - - (iv) [(iii) x 2]>>   2(z + x) = 4 - - - - - - - - (v) Now,  [(iv) - (v)]>>  2y + z + x - 2(z + x) = 10 - 4 or,  2y + z + x - 2z - 2x = 6 or,  2y - z - x = 6
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