What will be the Value of (X+Y)/X2? If

The sum of two positive numbers is 20% of the sum of their squares and 25% of the difference of their squares. If the numbers are X and Y then
X + Y is equal to-
X2

  1. 1/3
  2.   3/8
  3.   2/9
  4.   1/4
Monis Rasool Professor Asked on 9th October 2015 in Maths.
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1 Answer(s)

Answer: (3) 2/9

Explanation:-
The sum of two positive numbers is 20% of their squares,
Then, X + Y = (X2 + Y2) x 20/100
X + Y = (X2 + Y2)/5
X2 + Y2 = 5 (X + Y)  ………………………….. (1)

And 25% of the difference of their squares,
Then, X + Y = (X2 – Y2) x 25/100
X + Y = (X2 – Y2)/4
X2 – Y2 = 4 (X + Y)     ………………………………. (2)

Add equation (1) & (2),
X2 + Y2 + X2 – Y2 = 5X + 5Y + 4X + 4Y
2X2 = 9 X + 9 Y
2X2 = 9 (X + Y)
(X + Y)/X2 = 9/2

Then, the value of (X + Y)/X2 = 9/2

Hence, the answer is (3) 2/9.


Anurag Mishra Professor Answered on 10th October 2015.
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