A natural number when increased by 12, equals 160 times its reciprocal. Find number.

Explanation

Let, the natural number be x
According to question
`x+12=(160)/(x)`
`impliesx^(2)+12x=160`
`impliesx^(2)+12x-160=0
`impliesx^(2)+20x-8x-160=0`
`impliesx(x+20)-8(x+20)=0`
`implies(x+20)(x-8)=0`
Now, `x+20=0impliesx=-20`
and `x-8=0impliesx=8`
`"Hence, the natural no be 8."" "(because-20" is not a natural numbre")`