The product of two numbers is 108 and the sum of their squares is 225. The…

2025

 The product of two numbers is 108 and the sum of their squares is 225. The difference of the number is:

  1. A.

    5

  2. B.

    4

  3. C.

    3

  4. D.

    None of these

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Show answer & explanation

Correct answer: C

Answer:

3

Explanation:

Let the numbers be x and y.

Then xy = 108 and x2 + y2 = 225

(x –y)2 = x2 + y2 – 2xy

(x –y)2 = 225 – 216

(x –y)2 = 9

Therefore (x –y) = 3

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