Question

A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/8. Find the two integer.

Answer 1

Answer:

The integers are 1)The smaller number =x= 2/root of 3.

2)The other number is=2x=2X2/root of 3 =4/root of 3

Step-by-step explanation:

let the smaller one be x

while the other be 2x

sum of reciprocal of the two numbers =3/8

hence,

1/x + 1/2x=3/8

1/2x^2=3/8

1/x^2=3X2/8

taking reciprocal

x^2=8/6

x^2=4/3

The smaller number =x= 2/root of 3

hence,

The other number is=2x=2X2/root of 3 =4/root of 3

this is not sure