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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