if the number x is 5 greater than the number y and the sum of squares of x and y is 27 , find the product of x and y...
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The sum of squares of x & y should be 37 it's a wrong question.
Correct Question : If the number X is 5 more than the number Y and the sum of square of X and Y is a 37 then find the product of X and Y
Explanation :
X = Y + 5
X- Y = 5 { Square in both side}
(X- Y)2 = 52
X2 + Y2 - 2XY = 25...(i)
X2 + Y2 = 37...(ii)
From equation (i) and (ii)
37 - 2XY = 25
2XY = 37 -25 = 12
XY = 6
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