Question

Find the whole no. Which when decrease by 20 is equal to 69 times the reciprocal of the no.

Answer 1

Answer:

The Number = 23.

Step by step explanation:

Given:

The number is decrease by 20 is equal to 69 times the reciprocal of the number.

To Find:

The number.

Let, the number be 'x',

Now, according to question,

=> x - 20 = 69/x

=> x - 20 - (69)/x = 0

=> (x² - 20x - 69)/x = 0

=> x² - 20x - 69 = 0

Now, we will solve this equation by splitting middle term method,

=> x² - 20x - 69 = 0

=> x² - 23x + 3x - 69 = 0

=> x(x - 23) + 3(x - 23) = 0

=> (x + 3) (x - 23) = 0

=> x = -3 and 23

As we know that whole numbers are not negative. So x = 23.

Hence, number = 23.

Answer 2

$\huge{\tt{\pink{Hello!!! }}}$

$\tt{ \orange{let \: the \: required \: number \: be \: x. \: }}$

$\tt{ \purple{x \: - \: 20 \: = \: 69 \times \frac{1}{x}}}$

$\tt{ \blue{x \: - \: 20 = \frac{69}{x} }}$

$\tt{ \red{ {x}^{2} + 69 = 20x \: }}$

$</p><p>\tt{\green{x \:=\: -3 \:and \:23. }}$