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  9. Q144

SSC CHSL 2012 · Question 144 of 202

If the difference of two numbers is 3 and the difference of their squares is 39; then the larger number is :

  1. A9
  2. B12
  3. C13
  4. D8 1 3 - = + xCorrect

Answer: D. 8 1 3 - = + x

Explanation

Let the numbers are x, y. x – y = 3 … (1) x2 – y2 = 39 Þ (x – y) (x + y) = 39 Þ x + y = 13 … (2) Adding eqn (1) and (2) x + y + x – y = 16 Þ x = 8 \ y = 3 Hence, 8 is the larger number. = + x 3 2

Source: SSC CHSL Solved Paper 04-11-2012 (Disha Publications) · reliable-secondary

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