Question

The sum of two numbers is 15. If sum of their resipocals is 3/10 find the two numbers​

Answer 1

Answer:

x+y=15

1/x+1/y=3/10

then

10(x+y)=3xy

150=3xy

xy=50

(15-y)*y=50

y^2-15y+50=0

y^2-10y-5y+50=0

y(y-10)-5(y-10)=0

(y-5)(y-10)=0

y=5 or 10

if y=5

then

x=15-5=10

so the numbers are

10 and 5