What are Two Numbers? If

The average of two numbers is 7.5. The product of the two numbers square-root is 6. Two numbers are

  1. 13 and 2
  2. 9 and 6
  3. 10 and 5
  4. 12 and 3
Monis Rasool Professor Asked on 10th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 12 and 3
    Explanation:-

    The average of two numbers = 7.5
    Therefore, the sum of two numbers = 2 x 7.5 = 15

    Let be the first number is X
    then, second number = 15 – X

    According to the question,
    X(15 – X) = 62
    15X – X2  = 36
    X2 -15X + 36 = 0
    X2  – 12X – 3X + 36 = 0
    X(X – 12) – 3(X – 12) = 0
    (X – 3)(X -12) = 0
    X = 3,12

    Thus, the numbers are 12 and 3

    Hence, the answer is (4) 12 and 3.

    Anurag Mishra Professor Answered on 10th June 2015.
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