two positive integers differ by 4 and sum of their reciprocals is 10/21 . then, one of the number is
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Let , one number be X , then the second number is (X + 4).
By condition,
1/x*(1/x+4)=10/21
or,x+x+4/x*(x+4)=10/21
or, 2x+4/x(x+4)=10/21
or,x=3
Hence , one of the number is 3
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