If (x+y)=10 and x cube+y cube=250 find the value of x and y ?

Dear Student, 
we have,x+y=10 ---(1)cubing both side, we get,(x+y)3=103x3+y3+3xy(x+y)=1000250+3xy×10=1000      (given, x3+y3=250)30xy=750xy=75030xy=25y=25xnow, substituing 'y' in eqn (1)x+25x=10x2+25=10xx2-10x+25=0x2-5x-5x+25=0x(x-5)-5(x-5)=0(x-5)(x-5)=0S, x=5 now in eqn (1)5+y=10y=5
Hope, you will find this answer helpful.

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x=5 and y= 5
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please check whether the question is right or wrong....
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X=5
Y=5
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