Question

A natural number when increased by 4 equals 320 times its reciprocal. find the number

Answer 1

Answer:

x=16

Step-by-step explanation:

∴ Let the natural number x.

∴ On increasing x by 4:-

∴ x+4 = 1/x×320

∴ x+4=320/x

∴ x(x+4)=320

∴ x²+4x-320=0

∴ x²+20x-16x-320=0

∴ x(x+20)-16(x+20)

∴ (x-16) (x+20)=0

∴x=16 and x=-20

∴ x is natural number . So, x can't be negative

so, x=16