Question:
Find the whole number which when decreased by 20 is equal to 69 times the reciprocal of the number.
Solution:
Let the whole numbers be x.
Then according to question
$(x-20)=69 \times \frac{1}{x}$
$x(x-20)=69$
$x^{2}-20 x-69=0$
$x^{2}-23 x+3 x-69=0$
$x(x-23)+3(x-23)=0$
$(x-23)(x+3)=0$
$(x-23)=0$
$x=23$
Or
$(x+3)=0$
$x=-3$
Since, whole numbers being a positive, so x cannot be negative.
Thus, whole numbers be