CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Arithmetic Progression

The sum of a ...

Question

The sum of a number and its reciprocals is. What are the numbers?

Open in App

Solution

Let the number be x.

Reciprocal of the number =

Sum of the number and its reciprocal =

Adding to both the sides to make L.H.S a perfect square:

Thus, the numbers are

Suggest Corrections

thumbs-up

2

Similar questions

Q. If the sum of a number and its reciprocal is

\frac{10}{3}

, then the numbers are

Q. The sum of a number and its reciprocal is 2. Find the number.

Q. The sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. The number is.........

Q. If the sum of two numbers is

55

and H.C.F. and L.C.M. of these numbers are

5

120

respectively, then what is the sum of the reciprocals of these numbers?

Q. The sum of a number and its reciprocal is

\frac{26}{5}

. Find numbers.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Arithmetic Progression

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon