Dear student 1 Let the two numbers be x and y A T Qx-y=2 1xy=528 2From 1, we havex=2+yPut the value of x in 2, we get⇒2+yy=528⇒y2+2y-528=0⇒y2+24y-22y-528=0⇒yy+24-22y+24=0⇒y-22y+24=0⇒y-22=0 or y+24=0⇒y=22 or y=-24When y=22⇒x=2+22=24So required numbers are : x= 24 and y= 22 For remaining queries we request you to post them in separate threads to have rapid assistance from our experts Regards

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Dear student
1.

Let the two numbers be x and y A . T . Q x - y = 2 . . . (1) xy = 528 . . . (2) From (1), we have x = 2 + y Put the value of x in (2), we get \Rightarrow (2 + y) y = 528 \Rightarrow y^{2} + 2 y - 528 = 0 \Rightarrow y^{2} + 24 y - 22 y - 528 = 0 \Rightarrow y (y + 24) - 22 (y + 24) = 0 \Rightarrow (y - 22) (y + 24) = 0 \Rightarrow y - 22 = 0 or y + 24 = 0 \Rightarrow y = 22 or y = - 24 When y = 22 \Rightarrow x = 2 + 22 = 24 So required numbers are : x = 24 and y = 22

For remaining queries we request you to post them in separate threads to have rapid assistance from our experts.
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