Question

a natural number,when decreased by 5,equals 66 times its reciprocal find the number

Answer 1

i think it's your answer

Answer 2

Answer:

The natural number is 11

Step-by-step explanation:

Let the natural number is x.

Then its reciprocal is 1/x

According to the question,we have the below equation

$x-5=66\times\frac{1}{x}$

Now, we solve for x

$x-\frac{66}{x}-5=0\\\\x^2-5x-66=0\\x^2-11x+6x-66=0\\(x-11)(x+6)=0\\x=11,-6$

Since, x is a natural number. Hence, we can discard x = -6

Therefore, the natural number is 11