Question

A natural number when subtracted from 28, becomes equal to 160 times its reciprocal. Find the number.

Answer 1

Answer:

x=8 or x=2p

Step-by-step explanation:

Explanation given in the attached file

Answer 2

Given - LHS and RHS

Find - Number

Solution - The natural number can be 20 or 8.

Let the natural number be x.

Now, as per the question, 28 - x = 160*1/x.

Solving the formed equation to find the natural number.

Multiplying Left Hand Side values with x.

28x - x² = 160

x² - 28x + 160 = 0

x² - 20x - 8x + 160 = 0

Finding factors to find the value of x.

x (x - 20) - 8 (x - 20) = 0

(x - 20) (x - 8).

Thus, the value of x can be 20 or 8. Therefore, the natural number can be 20 or 8.