UGC NET Paper 1 GA 2016 July Solved Paper

Let the fare of one ticket from city A to city B = ₹ x
And the fare of one ticket from city A to city C = ₹ y
According to the question :
3x + 2y =173 ....(1)
2x + 3y =177 ....(2)
When equation (1) is multiplied by 3 and equation (2) is multiplied by 2
Then,
9x + 6y =519 ....(3)
4x + 6y =354 ....(4)
Subtracting equation (4) from equation (3), we get
5x = 165
$\Rightarrow \mathit{x}=\mathrm{₹}33$
Hence, the fare for city B from city A will ₹ 33.