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The sum of two number is 11 and the sum of their reciprocals is 11/28. Find the numbers.

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The sum of two number is 11 and the sum of their reciprocals is 11/28. Find the numbers.

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Given sum of two numbers is 11
x+y=11 _____ (1)

sum of their reciprocals is 11/28

putting x=7 in equation _____ (1)

x+y=11
7+y=11
y=11−7
y=4
∴ The two numbers are (x,y)=(7,4)

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