Question

A natural number when increased by 12 is 160 times its reciprocal.find the number

Answer 1

the natural no. is 8

Answer 2

Let the natural no=x
It’s reciprocal =1/x
According to question
x+12=160*1/x
x-160/x+12=0
Take common LCM=x
x2+12x-160=0
x2+20x-8x-160=0
x(x+20)-8(x+20)=0
(x-8)=0, (x+20)=0
x=8, x=-20
x= -20 not possible
So, x=8
The natural no will be 8