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  • Question
  • The sum of two number, when multiplied with each of the number separately, then the results of these multiplication are 2418 and 3666, respectively. Find the difference between the numbers.?


  • Options
  • A. 16
  • B. 21
  • C. 19
  • D. 23

  • Correct Answer
  • 16 

    Explanation

    Let the number be x and y.
    Now, according to the question,
    x(x + y) = 2418 .....(i)
    and y(x + y) = 3666 .....(ii)
    On adding Eqs. (i) and (ii), we get
    x2 + xy + yx + y2 = 6084
    ? x2 + 2xy + y2 = 6084
    ? (x + y)2 = 6084
    ? x + y = ?6084 = 78
    On subtracting Eq. (ii) from Eq. (i), we get
    x2 + xy - yx - y2 = -1248
    ? x2 - y2 = -1248
    ? (x + y) (x - y) = -1248
    ? 78(x - y) = -1248
    ? x - y = - 1248 / 78 = -16
    ? (y - x) = 16


  • More questions

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      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
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    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
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    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
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    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
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    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
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    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
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    • D. 5
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    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
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    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
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    • Discuss
    • 10. 
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    • Options
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