Question

The sum of two no is 18 and the sum of thier reciprocals is 1/4 find the no

Answer 1

Answer:

two no is 18..

one no is 1/4

other no be x

1/4+x=18

×=18-1/4

=72/4-1/4

=71/4 @nswer

hope it's helps u

Answer 2

Answer:

6 and 12

Step-by-step explanation:

Let the numbers are x and y

so sum x+y=18------------(1)

sum of reciprocals 1/x+1/y=1/4

(x+y)/xy=1/4

18/xy=1/4

xy=72

now x+y=18

x+xy/x=18

x+72/x=18

x2+72=18x

x2-18x+72=0

x2-12x-6x+72=0

x(x-12)-6(x-12)=0

(x-6)(x-12)=0

x=6,12

if x=6 then y=18-6=12

so the numbers are

6 and 12