Question

A natural number, when increased by 36, equals 160 times its reciprocal. Find the number.

(A) 3 (B) 8 (C) 4 (D) 7
​

Answer 1

Answer:

let...the natural no. be x

a/q

x+36=160/x

x^2+36x-160=0

x^2+40x-4x-160=0

x(x+40)-4(x+40)=0

(x+40) (x-4)=0

x= -40 & x=4

so...ans is option (c)