Divide27 into two part such that the sum of their reciprocals is 3/10
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let two parts x and y
so x+y=27
ATQ
1/x+1/y=3/20
after putting =x+y=27
y=18/x
putting y=180/xin eq x+y=2
x2-27x+180
after solving
x=15 12
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