Question

the sum of two numbers is 9. eighteen times the sum of their reciprocal is 452. find the numbers

Answer 1

Let the numbers be x and y.
18(¹/x+¹/y)=450
(x+y)/xy=450/18
x+y=25xy

x+y=9

x+y-(x+y)=25xy-9
9=25xy

x=9/25y
y=9/25d