Question

The sum of reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers.

Answer 1

x=2
, y=3


this is the answer
 

Answer 2

Hello,
Let's assume a and b the 2 numbers with a<b

1/a+1/b=5/6 (1)

1/a-1/b=1/6 (2)
(1)+(2)==>1/a+1/a=5/6+1/6==>2/a=1==>a=2

(1)==>1/b=5/6-1/2==>1/b=5/6-3/6==>1/b=1/3==>b=3