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There are two numbers. The second number is larger than twice the First number. The sum of the reciprocals of the two numbers is 7/10. Find the two numbers​

Sagot :

Answer:

[tex]x[/tex] - first number

[tex]2x[/tex] - second number

Solution:

[tex]\frac{1}{x} +\frac{1}{2x}=\frac{7}{10}[/tex]

[tex]\frac{3}{2} (\frac{1}{x} )=\frac{7}{10}[/tex]

[tex]\frac{1}{x} =\frac{7}{10} (\frac{2}{3} )=\frac{7}{15}[/tex]

[tex]x=\frac{15}{7}[/tex]

[tex]2x=\frac{30}{7}[/tex]