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Question

Find X and Y, if X+Y=[5209] and XY=[3601]

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Solution

Given :
X+Y=[5209] (1)
XY=[3601] (2)
Adding equation (1) and (2)
(X+Y)+(XY)=[5209]+[3601]
X+X+YY=[5+32+60+091]
2X=[8808]
X=12[8808]
X=⎢ ⎢8282082⎥ ⎥
X=[4404]

Putting X=[4404] in equation (1)
[4404]+Y=[5209]

Y=[5209][4404]

Y=[54240094]

Y=[1205]
Hence,
X=[4404], Y=[1205]

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