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SSC CHSL 2024 PYQ — Question 65

SSC CHSL - 01 July 2024 - Shift 1 • Quantitative Aptitude • Q65

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If the equation of line p is x + y = 5 and that of line q is x − y = 3, what are the coordinates of the point common to both the lines?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. (4, 1).

  1. x + y = 5 (equation of line p)
  2. x − y = 3 (equation of line q)

To solve these equations, we add:

⇒ (x + y) + (x − y) = 5 + 3

⇒ 2x = 8

⇒ x = 4

Now, substitute x = 4 in one of the equations to find the value of y.

Let x + y = 5

⇒ 4 + y = 5

⇒ y = 5 - 4 =1

⇒ y = 1

So, the coordinates of the common point are (4,1).