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  • Question
  • If 3x + 7y = 75 and 5x - 5y = 25, what is the value of x + y?


  • Options
  • A. 14
  • B. 15
  • C. 16
  • D. 17

  • Correct Answer
  • 17 

    Explanation

    3x + 7y = 75 ..(i)
    5x - 5y = 25
    ? x - y = 5 ...(ii)
    On multiplying Eq. (ii) by 7 and adding to Eq. (i), we get
    3x + 7y = 75
    7x - 7y = 35
    ------------------
    10x = 110
    x = 11
    ? Putting the value of x in Eq. (ii), we get
    11 - y = 5
    ? y = 6
    ? x + y = 6 + 11 = 17

  • Tags: Bank Exams

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