Question

A positive number, when increased by 10
equals 200 times its reciprocal. What is
number?
A 100
B
10
C 20
D 200​

Answer 1

Answer:

b)10

Step-by-step explanation:

Let the positive number be x

Now, according to question

x+10=200xx+10=200x

x2+10x=200x2+10x=200

x2+10x−200=0x2+10x−200=0

x2+20x−10x−200=0x2+20x−10x−200=0

x(x + 20) - 10(x + 20) = 0

(x - 10)( x + 20) = 0

x = 10 or x = -20

But x is a positive number

x≠−20x≠−20

x=10x=10

Hence the positive number is 10