Question

Sum of two numbers is 15. and the sum of their reciprocals is3/10
then find the numbers.​

Answer 1

let the two numbers be A and B

=A+B=15-----------(1)

1/A +1/B=3/10

(A+B)/AB = 3/10

from (1)

(A+B)/AB = 15/AB

15/AB = 3/10

AB = 50----------(2)

solving (1) and (2)

A = 10 and B = 5

or B=10 and A=5

Answer 2

Step-by-step explanation:

x+y=15

1/x+1/y=3/10

x+y/xy=3/10

x+y=3/10 xy

3/10xy=15

xy=50

x+50/x = 15

x^2-15x+50=0

x=10 y=5