What is The Greater Number?

The product of two consecutive odd numbers is 6723, What is the greater number?

  1. 89
  2. 85
  3. 91
  4. 83
Harsh Vardhan Professor Asked on 31st July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 83
    Explanation:-
    Let the two consecutive numbers are X , X + 2.
    According to the question,
    X x (X + 2) = 6723
    X2 + 2 X = 6723
    X2 + 2 X – 6723 = 0
    X2 + 83 X – 81 X – 6723 = 0
    X (X + 83) – 81(X + 83) = 0
    (X + 83) (X – 81) = 0
    (X – 81) = 0
    X = 81
    X = 81 then, X + 2 = 81 + 2 = 83
    Hence, the greater number is X + 2 = 81 + 2 = 83.

    Anurag Mishra Professor Answered on 31st July 2015.
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