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3 years ago

The sum of the reciprocal of a number and 3/5 is 7/10 find the number

Mathematics

1 answer:

atroni [7]3 years ago

7 0

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

$\frac{1}{x}+\frac{3}{5} = \frac{7}{10}\\Taking\ LCM\\\frac{5+3x}{5x} = \frac{7}{10}\\Cross-multiplying\\10(5+3x) = 7(5x)\\50+30x=35x\\Subtracting\ 30x\ from\ both\ sides\\50+30x-30x=35x-30x\\50=5x\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5} = \frac{50}{5}\\x=10$

The number is 10

Keywords: Linear Equations

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