Question

The sum of the reciprocal of two numbers is 7/24. one number is 6. the other number will be

Answer 1

Answer:

according to the question 1/6 +x= 7/24. so this implies x=7/24-1/6 by taking LCM the reciprocal number will be 8 and the both numbers are 6,8

Step-by-step explanation:

1/6+x=7/24

x=7/24-1/6

8/6 is the answer

Answer 2

The value of the other number is equal to 8.

Given:

The sum of the reciprocal of two numbers is 7/24.

One of the numbers is 6.

To Find:

The value of the other number.

Solution:

Let the other number be 'x'.

One of the numbers is equal to 6.

$\boldsymbol{If\:there\:is\:a\:number\:'x'\:then\:its\:reciprocal\:would\: be \:equal\:to\:\frac{1}{x} }.$

→ The sum of the reciprocal of the two numbers is 7/24.

                                    $\therefore \frac{1}{x}+ \frac{1}{6} =\frac{7}{24} \\\\\therefore \frac{1}{x} =\frac{7}{24}- \frac{1}{6} \\\\\therefore \frac{1}{x} =\frac{(7\times1)-(1\times4)}{24} \\\\\therefore \frac{1}{x} =\frac{(3)}{24} \\\\\therefore x=\frac{24}{3}\\\\ \therefore x=8$

The value of 'x' comes out to be equal to 8.

Therefore the value of the other number is equal to 8.

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