The number is 10
Step-by-step explanation:
Let x be the number then the reciprocal will be 1/x
according to given statement
The sum of the reciprocal of a number and 3/5 is 7/10
[tex]\frac{1}{x}+\frac{3}{5} = \frac{7}{10}\\Taking\ LCM\\\frac{5+3x}{5x} = \frac{7}{10}\\Cross-multiplying\\10(5+3x) = 7(5x)\\50+30x=35x\\Subtracting\ 30x\ from\ both\ sides\\50+30x-30x=35x-30x\\50=5x\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5} = \frac{50}{5}\\x=10[/tex]
The number is 10
Keywords: Linear Equations
Learn more about linear equations at:
- brainly.com/question/4163549
- brainly.com/question/4168505
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