What is The Product of the Numbers?

Sum of two numbers is 17, whereas sum of their squares is 145. What is the product of the numbers?

  1. 72
  2. 42
  3. 82
  4. 14
Anurag Mishra Professor Asked on 12th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 72

    Explanation:-
    Let the two number be X & Y

    Sum of two numbers is 17,
    Then, X + Y = 17                        ………………. (1)

    Sum of their squared = 145
    Then, X2 + Y2 = 145      ………………………… (2)

    From equation (1),
    X  + Y = 17
    Square on both side,
    (X + Y)2 = 172
    X2 + Y2 + 2 XY = 289
    145 + 2 XY = 289
    2 XY = 289 – 145
    2 XY = 144
    XY = 144/2
    XY = 72

    Then, product of the number is 72.

    Hence, the answer is (1) 72.

    Anurag Mishra Professor Answered on 14th October 2015.
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