Question

the difference between the reciprocal of two consecutive positive even numbers is 1/12, Find the tur numbers.​

Answer 1

Answer:

The numbers are 4 and 6

Step-by-step explanation:

consider one number is x and other is x+2.

(1/x) - (1/(x+2)) =1/12

(x+2-x) / ($X^{2}$+2x) = 1/12

12*2=($X^{2}$+2x)

$X^{2}$+2x-24=0

$X^{2}$+6x-4x-24=0

x(x+6)-4(x+6)=0

(x-4)(x+6)=0

i.e. x = 4 and x = -6

but x is positive hence value of x is 4

thus the two positive integers are x=4 and x+2=6