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  • Question
  • Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?


  • Options
  • A. 15
  • B. 3
  • C. 9
  • D. 6

  • Correct Answer
  • 15 

    Explanation

    Let the required two numbers be a, b

    From the given data,

    2a + 3b = 36 .....(1)

    3a + 2b = 39 .....(2)

    Now, by solving 1 and 2 eqnts, we get

    5a = 45

    a = 9 ....(3)

    Put (3) in (1), we get

    2(9) + 3b = 36

    => 18 + 3b = 36

    3b = 36 - 18

    => b = 18/3 = 6

     

    Required, difference between the numbers = a + b = 9 + 6 = 15.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

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