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CAT 2016 Slot 1 · Quant · Linear Equations · easy

If 3x + 2y = 19 and 2x − y = 1, then x + y equals

Single correct option

If 3x + 2y = 19 and 2x − y = 1, then x + y equals
  1. A. 6
  2. B. 7
  3. C. 8
  4. D. 9
Show answer and solution

Answer: (C) 8

From the second equation, y = 2x − 1. Substituting: 3x + 2(2x − 1) = 19 ⇒ 7x = 21 ⇒ x = 3, and y = 5.

x + y = 8.

Alternative: multiply the second equation by 2 and add to the first: 7x = 21, same result.
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Original question written in the CAT 2016 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake